What is the Greatest Common Factor of 79260 and 79272?

Greatest common factor (GCF) of 79260 and 79272 is 12.

GCF(79260,79272) = 12

We will now calculate the prime factors of 79260 and 79272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79260 and 79272.

How to find the GCF of 79260 and 79272?

We will first find the prime factorization of 79260 and 79272. After we will calculate the factors of 79260 and 79272 and find the biggest common factor number .

Step-1: Prime Factorization of 79260

Prime factors of 79260 are 2, 3, 5, 1321. Prime factorization of 79260 in exponential form is:

79260 = 2² × 3¹ × 5¹ × 1321¹

Step-2: Prime Factorization of 79272

Prime factors of 79272 are 2, 3, 367. Prime factorization of 79272 in exponential form is:

79272 = 2³ × 3³ × 367¹

Step-3: Factors of 79260

List of positive integer factors of 79260 that divides 79260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1321, 2642, 3963, 5284, 6605, 7926, 13210, 15852, 19815, 26420, 39630

Step-4: Factors of 79272

List of positive integer factors of 79272 that divides 79260 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 367, 734, 1101, 1468, 2202, 2936, 3303, 4404, 6606, 8808, 9909, 13212, 19818, 26424, 39636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79260 and 79272. The biggest common factor number is the GCF number.
So the greatest common factor 79260 and 79272 is 12.

Also check out the Least Common Multiple of 79260 and 79272