What is the Greatest Common Factor of 79512 and 79524?

Greatest common factor (GCF) of 79512 and 79524 is 12.

GCF(79512,79524) = 12

We will now calculate the prime factors of 79512 and 79524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79512 and 79524.

How to find the GCF of 79512 and 79524?

We will first find the prime factorization of 79512 and 79524. After we will calculate the factors of 79512 and 79524 and find the biggest common factor number .

Step-1: Prime Factorization of 79512

Prime factors of 79512 are 2, 3, 3313. Prime factorization of 79512 in exponential form is:

79512 = 2³ × 3¹ × 3313¹

Step-2: Prime Factorization of 79524

Prime factors of 79524 are 2, 3, 47. Prime factorization of 79524 in exponential form is:

79524 = 2² × 3² × 47²

Step-3: Factors of 79512

List of positive integer factors of 79512 that divides 79512 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3313, 6626, 9939, 13252, 19878, 26504, 39756

Step-4: Factors of 79524

List of positive integer factors of 79524 that divides 79512 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692, 2209, 4418, 6627, 8836, 13254, 19881, 26508, 39762

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79512 and 79524. The biggest common factor number is the GCF number.
So the greatest common factor 79512 and 79524 is 12.

Also check out the Least Common Multiple of 79512 and 79524