What is the Greatest Common Factor of 79539 and 79548?

Greatest common factor (GCF) of 79539 and 79548 is 3.

GCF(79539,79548) = 3

We will now calculate the prime factors of 79539 and 79548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79539 and 79548.

How to find the GCF of 79539 and 79548?

We will first find the prime factorization of 79539 and 79548. After we will calculate the factors of 79539 and 79548 and find the biggest common factor number .

Step-1: Prime Factorization of 79539

Prime factors of 79539 are 3, 26513. Prime factorization of 79539 in exponential form is:

79539 = 3¹ × 26513¹

Step-2: Prime Factorization of 79548

Prime factors of 79548 are 2, 3, 7, 947. Prime factorization of 79548 in exponential form is:

79548 = 2² × 3¹ × 7¹ × 947¹

Step-3: Factors of 79539

List of positive integer factors of 79539 that divides 79539 without a remainder.

1, 3, 26513

Step-4: Factors of 79548

List of positive integer factors of 79548 that divides 79539 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 947, 1894, 2841, 3788, 5682, 6629, 11364, 13258, 19887, 26516, 39774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79539 and 79548. The biggest common factor number is the GCF number.
So the greatest common factor 79539 and 79548 is 3.

Also check out the Least Common Multiple of 79539 and 79548