C09 lesson 3 of 12 6 min read Intermediate

Crop Factor and Equivalent Field of View

You may have heard that a 50mm lens "becomes" a 75mm lens on an APS-C camera. That is a useful shortcut, but it causes a lot of confusion. The lens does not change at all. What changes is how much of its image the sensor records. This idea is called crop factor. This lesson explains what crop factor really means, how to calculate equivalent focal lengths, how it affects depth of field, and what it does not change.

The question this lesson answersWhy does the same lens give a different view on different cameras, and what does crop factor really change?

What is crop factor?

Crop factor is the ratio between the size of a sensor and the size of a full-frame sensor, measured across the diagonal. Full frame has a crop factor of 1. A smaller sensor has a larger crop factor: about 1.5× for most APS-C sensors, about 1.6× for Canon APS-C and 2× for Micro Four Thirds, as listed in sensor formats.

A smaller sensor records only the central part of the lens's image circle, which you met in how camera lenses work. The result looks like a cropped version of what a full-frame camera would record with the same lens, hence the name.

Equivalent focal length

To describe what field of view a lens gives on a smaller sensor in familiar full-frame terms, multiply the focal length by the crop factor:

Equivalent focal length = focal length × crop factor
LensOn APS-C (1.5×)On Canon APS-C (1.6×)On Micro Four Thirds (2×)
16mm24mmAbout 26mm32mm
35mmAbout 52mm56mm70mm
50mm75mm80mm100mm
200mm300mm320mm400mm

This is what people mean by "a 50mm becomes 75mm". The lens is still 50mm; it simply gives the same field of view a 75mm lens would give on full frame. Phones describe their lenses this way, such as "24mm equivalent". Focal length and angle of view were covered in focal length and angle of view.

What crop factor does not change

What changes and what stays the same
Changes with crop factorDoes not change
Field of view (how much you see)The lens's actual focal length
Depth of field at the same framingExposure: the same f-number, shutter speed and ISO give the same brightness
Total light collected for the whole imagePerspective from the same position, as explained in perspective

Warning:An f/2.8 lens is always f/2.8 for exposure. You do not need to change your settings because of the sensor size.

Crop factor and depth of field

To get the same framing on a smaller sensor, you use a shorter focal length (or stand further back). That gives deeper depth of field at the same f-number. To compare background blur across formats, photographers use an equivalent aperture: multiply the f-number by the crop factor.

Equivalent aperture for depth of field (same framing)
Setting on smaller sensorSimilar depth of field on full frame
25mm f/1.4 on Micro Four Thirds (2×)50mm f/2.8
35mm f/1.8 on APS-C (1.5×)About 52mm f/2.7
17mm f/1.2 on Micro Four Thirds34mm f/2.4

Equivalent aperture describes depth of field and total light, not exposure brightness. This explains why smaller sensors find very shallow depth of field harder, and why they are useful when you want more of the scene sharp. Depth of field was covered in shallow and deep depth of field.

Advantages of crop factor

  • Telephoto reach: a 300mm lens on Micro Four Thirds frames like 600mm on full frame, in a smaller, lighter, cheaper lens.
  • Deeper depth of field: useful for landscapes, macro and video.
  • Smaller lenses: lenses designed for small sensors can be smaller.

Wide angles are harder: to get a very wide view on a small sensor, you need very short focal lengths, such as 7mm on Micro Four Thirds for a 14mm-equivalent view.

Common misunderstandings

  • "Crop factor changes the focal length": it changes the field of view, not the lens.
  • "An f/2.8 lens becomes f/4.2 on APS-C for exposure": no; equivalent aperture applies to depth of field and total light only.
  • "Crop sensors magnify": they crop; the result looks magnified only when shown at the same size.
  • Mixing up formats when comparing reviews: always check whether focal lengths are real or equivalent.

How professionals use crop factor

Professionals think in equivalent focal lengths when they switch between systems, so they know instantly what view a lens will give. Wildlife and sports photographers sometimes choose crop-sensor bodies for reach. Portrait photographers using smaller sensors choose faster lenses to keep background blur. They always remember that exposure settings stay the same, whatever the format.

Practical examples

Choosing a portrait lens for APS-C

Situation
You want the classic 85mm portrait view on your 1.5× APS-C camera.
What to do
You choose a 56mm lens.
Why it works
56mm × 1.5 is about 84mm equivalent.
Result
A natural portrait framing like an 85mm on full frame.

A bird with a Micro Four Thirds camera

Situation
You need about 600mm of reach on full frame terms for small birds.
What to do
You use a 100–300mm lens at 300mm on Micro Four Thirds.
Why it works
300mm × 2 gives a 600mm-equivalent field of view.
Result
Bird photos with long reach from a lens much smaller than a full-frame 600mm.

Key points

  • Crop factor compares a sensor's size with full frame: about 1.5× APS-C, 1.6× Canon APS-C, 2× Micro Four Thirds.
  • Equivalent focal length = focal length × crop factor; it describes field of view.
  • The lens and exposure do not change: f/2.8 is always f/2.8 for brightness.
  • Equivalent aperture (f-number × crop factor) compares depth of field at the same framing.
  • Crop factor helps telephoto reach and depth of field but makes ultra-wide views harder.

Frequently asked questions

What is crop factor?
The ratio between a sensor's size and full frame. It describes how much narrower the field of view is with the same lens.
How do I calculate equivalent focal length?
Multiply the lens's focal length by the crop factor. A 50mm lens on a 1.5× APS-C camera gives a 75mm-equivalent view.
Does crop factor change aperture?
Not for exposure. For depth of field at the same framing, multiply the f-number by the crop factor to compare.
Is crop factor an advantage?
For telephoto reach and deep depth of field, yes. For very wide views and very shallow depth of field, it is a disadvantage.

Conclusion

Crop factor describes how a smaller sensor records a narrower part of a lens's image. Use it to calculate equivalent focal length and to compare depth of field, but remember that the lens and exposure never change. Next, you will learn what resolution really means for detail in your photos.

Finished reading? Track your progress through Sensors and RAW.

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