What is the Greatest Common Factor of 78612 and 78627?

Greatest common factor (GCF) of 78612 and 78627 is 3.

GCF(78612,78627) = 3

We will now calculate the prime factors of 78612 and 78627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78612 and 78627.

How to find the GCF of 78612 and 78627?

We will first find the prime factorization of 78612 and 78627. After we will calculate the factors of 78612 and 78627 and find the biggest common factor number .

Step-1: Prime Factorization of 78612

Prime factors of 78612 are 2, 3, 6551. Prime factorization of 78612 in exponential form is:

78612 = 2² × 3¹ × 6551¹

Step-2: Prime Factorization of 78627

Prime factors of 78627 are 3, 26209. Prime factorization of 78627 in exponential form is:

78627 = 3¹ × 26209¹

Step-3: Factors of 78612

List of positive integer factors of 78612 that divides 78612 without a remainder.

1, 2, 3, 4, 6, 12, 6551, 13102, 19653, 26204, 39306

Step-4: Factors of 78627

List of positive integer factors of 78627 that divides 78612 without a remainder.

1, 3, 26209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78612 and 78627. The biggest common factor number is the GCF number.
So the greatest common factor 78612 and 78627 is 3.

Also check out the Least Common Multiple of 78612 and 78627