What is the Greatest Common Factor of 78564 and 78576?

Greatest common factor (GCF) of 78564 and 78576 is 12.

GCF(78564,78576) = 12

We will now calculate the prime factors of 78564 and 78576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78564 and 78576.

How to find the GCF of 78564 and 78576?

We will first find the prime factorization of 78564 and 78576. After we will calculate the factors of 78564 and 78576 and find the biggest common factor number .

Step-1: Prime Factorization of 78564

Prime factors of 78564 are 2, 3, 6547. Prime factorization of 78564 in exponential form is:

78564 = 2² × 3¹ × 6547¹

Step-2: Prime Factorization of 78576

Prime factors of 78576 are 2, 3, 1637. Prime factorization of 78576 in exponential form is:

78576 = 2⁴ × 3¹ × 1637¹

Step-3: Factors of 78564

List of positive integer factors of 78564 that divides 78564 without a remainder.

1, 2, 3, 4, 6, 12, 6547, 13094, 19641, 26188, 39282

Step-4: Factors of 78576

List of positive integer factors of 78576 that divides 78564 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1637, 3274, 4911, 6548, 9822, 13096, 19644, 26192, 39288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78564 and 78576. The biggest common factor number is the GCF number.
So the greatest common factor 78564 and 78576 is 12.

Also check out the Least Common Multiple of 78564 and 78576