What is the Greatest Common Factor of 79260 and 79275?

Greatest common factor (GCF) of 79260 and 79275 is 15.

GCF(79260,79275) = 15

We will now calculate the prime factors of 79260 and 79275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79260 and 79275.

How to find the GCF of 79260 and 79275?

We will first find the prime factorization of 79260 and 79275. After we will calculate the factors of 79260 and 79275 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 79275

Prime factors of 79275 are 3, 5, 7, 151. Prime factorization of 79275 in exponential form is:

79275 = 3¹ × 5² × 7¹ × 151¹

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 79275

List of positive integer factors of 79275 that divides 79260 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 151, 175, 453, 525, 755, 1057, 2265, 3171, 3775, 5285, 11325, 15855, 26425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79260 and 79275. The biggest common factor number is the GCF number.
So the greatest common factor 79260 and 79275 is 15.

Also check out the Least Common Multiple of 79260 and 79275