What is the Greatest Common Factor of 15612 and 15627?

Greatest common factor (GCF) of 15612 and 15627 is 3.

GCF(15612,15627) = 3

We will now calculate the prime factors of 15612 and 15627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15612 and 15627.

How to find the GCF of 15612 and 15627?

We will first find the prime factorization of 15612 and 15627. After we will calculate the factors of 15612 and 15627 and find the biggest common factor number .

Step-1: Prime Factorization of 15612

Prime factors of 15612 are 2, 3, 1301. Prime factorization of 15612 in exponential form is:

15612 = 2² × 3¹ × 1301¹

Step-2: Prime Factorization of 15627

Prime factors of 15627 are 3, 5209. Prime factorization of 15627 in exponential form is:

15627 = 3¹ × 5209¹

Step-3: Factors of 15612

List of positive integer factors of 15612 that divides 15612 without a remainder.

1, 2, 3, 4, 6, 12, 1301, 2602, 3903, 5204, 7806

Step-4: Factors of 15627

List of positive integer factors of 15627 that divides 15612 without a remainder.

1, 3, 5209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15612 and 15627. The biggest common factor number is the GCF number.
So the greatest common factor 15612 and 15627 is 3.

Also check out the Least Common Multiple of 15612 and 15627