What is the Greatest Common Factor of 9604 and 9612?

Greatest common factor (GCF) of 9604 and 9612 is 4.

GCF(9604,9612) = 4

We will now calculate the prime factors of 9604 and 9612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9604 and 9612.

How to find the GCF of 9604 and 9612?

We will first find the prime factorization of 9604 and 9612. After we will calculate the factors of 9604 and 9612 and find the biggest common factor number .

Step-1: Prime Factorization of 9604

Prime factors of 9604 are 2, 7. Prime factorization of 9604 in exponential form is:

9604 = 2² × 7⁴

Step-2: 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-3: Factors of 9604

List of positive integer factors of 9604 that divides 9604 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802

Step-4: Factors of 9612

List of positive integer factors of 9612 that divides 9604 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9604 and 9612. The biggest common factor number is the GCF number.
So the greatest common factor 9604 and 9612 is 4.

Also check out the Least Common Multiple of 9604 and 9612