GCF of 30 and 57 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 30 and 57?

Answer

GCF of 30 and 57 is 3

(Three)

Finding GCF for 30 and 57 using all factors (divisors) listing

The first method to find GCF for numbers 30 and 57 is to list all factors for both numbers and pick the highest common one:

All factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

All factors of 57: 1, 3, 19, 57

So the Greatest Common Factor for 30 and 57 is 3

Finding GCF for 30 and 57 by Prime Factorization

The second method to find GCF for numbers 30 and 57 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 30: 2, 3, 5

All Prime Factors of 57: 3, 19

As we can see there is only one Prime Factor common to both numbers. It is 3

So 3 is the Greatest Common Factor of 30 and 57

See Also

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 30 and 57? (The answer is: 3). Select the first number (e.g. '30') and the second number (e.g. '57'). 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
304010
30426
30431
30442
304515
30471
30486
30491
305010
30513
30522
30531
30546
30555
30562
30573
30582
306030
30642
30726
3010010
3010515
3011010
301155
3012030
3013010
3013515
3015030
3016515
3017010

FAQ

What is the Greatest Common Divisor of 30 and 57?

GCF of 30 and 57 is 3

How to find the GCF of 30 and 57?

You can find the GCF of 30 and 57 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 57 is 3.