GCF of 28 and 49 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 28 and 49?

Answer

GCF of 28 and 49 is 7

(Seven)

Finding GCF for 28 and 49 using all factors (divisors) listing

The first method to find GCF for numbers 28 and 49 is to list all factors for both numbers and pick the highest common one:

All factors of 28: 1, 2, 4, 7, 14, 28

All factors of 49: 1, 7, 49

So the Greatest Common Factor for 28 and 49 is 7

Finding GCF for 28 and 49 by Prime Factorization

The second method to find GCF for numbers 28 and 49 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 28: 2, 2, 7

All Prime Factors of 49: 7, 7

As we can see there is only one Prime Factor common to both numbers. It is 7

So 7 is the Greatest Common Factor of 28 and 49

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About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 28 and 49? (The answer is: 7). Select the first number (e.g. '28') and the second number (e.g. '49'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
28302
28311
28324
28331
28342
28357
28364
28371
28382
28391
28404
284214
28431
28444
28451
28462
28471
28484
28497
28502
28511
28531
28551
285628
28604

FAQ

What is the Greatest Common Divisor of 28 and 49?

GCF of 28 and 49 is 7

How to find the GCF of 28 and 49?

You can find the GCF of 28 and 49 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 28 and 49 is 7.

See Also