What is the Greatest Common Factor of 79572 and 79584?

Greatest common factor (GCF) of 79572 and 79584 is 12.

GCF(79572,79584) = 12

We will now calculate the prime factors of 79572 and 79584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79572 and 79584.

How to find the GCF of 79572 and 79584?

We will first find the prime factorization of 79572 and 79584. After we will calculate the factors of 79572 and 79584 and find the biggest common factor number .

Step-1: Prime Factorization of 79572

Prime factors of 79572 are 2, 3, 19, 349. Prime factorization of 79572 in exponential form is:

79572 = 2² × 3¹ × 19¹ × 349¹

Step-2: Prime Factorization of 79584

Prime factors of 79584 are 2, 3, 829. Prime factorization of 79584 in exponential form is:

79584 = 2⁵ × 3¹ × 829¹

Step-3: Factors of 79572

List of positive integer factors of 79572 that divides 79572 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 349, 698, 1047, 1396, 2094, 4188, 6631, 13262, 19893, 26524, 39786

Step-4: Factors of 79584

List of positive integer factors of 79584 that divides 79572 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 829, 1658, 2487, 3316, 4974, 6632, 9948, 13264, 19896, 26528, 39792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79572 and 79584. The biggest common factor number is the GCF number.
So the greatest common factor 79572 and 79584 is 12.

Also check out the Least Common Multiple of 79572 and 79584