What is the Greatest Common Factor of 9604 and 9624?

Greatest common factor (GCF) of 9604 and 9624 is 4.

GCF(9604,9624) = 4

We will now calculate the prime factors of 9604 and 9624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9604 and 9624.

How to find the GCF of 9604 and 9624?

We will first find the prime factorization of 9604 and 9624. After we will calculate the factors of 9604 and 9624 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 9624

Prime factors of 9624 are 2, 3, 401. Prime factorization of 9624 in exponential form is:

9624 = 2³ × 3¹ × 401¹

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 9624

List of positive integer factors of 9624 that divides 9604 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 401, 802, 1203, 1604, 2406, 3208, 4812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9604 and 9624. The biggest common factor number is the GCF number.
So the greatest common factor 9604 and 9624 is 4.

Also check out the Least Common Multiple of 9604 and 9624