GCF for 51 and 72

What is the Greatest Common Factor of 51 and 72?

Answer: GCF of 51 and 72 is 3

(Three)

Finding GCF for 51 and 72 using all factors (divisors) listing

The first method to find GCF for numbers 51 and 72 is to list all factors for both numbers and pick the highest common one:

All factors of 51: 1, 3, 17, 51

All factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

So the Greatest Common Factor for 51 and 72 is 3

Finding GCF for 51 and 72 by Prime Factorization

The second method to find GCF for numbers 51 and 72 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 51: 3, 17

All Prime Factors of 72: 2, 2, 2, 3, 3

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 51 and 72

Related Calculations

GCF Table

Number 1Number 2GCF
3672
37721
38722
39723
4072
41721
4272
43721
44724
4572
46722
47721
4872
49721
50722
51723
52724
53721
5472
55721
5672
57723
58722
59721
6072
61721
62722
6372
6472
6572

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 Factor of 51 and 72? (The answer is: 3). Select the first number (e.g. '51') and the second number (e.g. '72'). 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

FAQ

What is the Greatest Common Factor of 51 and 72?

GCF of 51 and 72 is 3