What is the Greatest Common Factor of 9612 and 9627?

Greatest common factor (GCF) of 9612 and 9627 is 3.

GCF(9612,9627) = 3

We will now calculate the prime factors of 9612 and 9627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9612 and 9627.

How to find the GCF of 9612 and 9627?

We will first find the prime factorization of 9612 and 9627. After we will calculate the factors of 9612 and 9627 and find the biggest common factor number .

Step-1: Prime Factorization of 9612

Prime factors of 9612 are 2, 3, 89. Prime factorization of 9612 in exponential form is:

9612 = 2² × 3³ × 89¹

Step-2: Prime Factorization of 9627

Prime factors of 9627 are 3, 3209. Prime factorization of 9627 in exponential form is:

9627 = 3¹ × 3209¹

Step-3: Factors of 9612

List of positive integer factors of 9612 that divides 9612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 89, 108, 178, 267, 356, 534, 801, 1068, 1602, 2403, 3204, 4806

Step-4: Factors of 9627

List of positive integer factors of 9627 that divides 9612 without a remainder.

1, 3, 3209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9612 and 9627. The biggest common factor number is the GCF number.
So the greatest common factor 9612 and 9627 is 3.

Also check out the Least Common Multiple of 9612 and 9627