What is the Greatest Common Factor of 9564 and 9584?

Greatest common factor (GCF) of 9564 and 9584 is 4.

GCF(9564,9584) = 4

We will now calculate the prime factors of 9564 and 9584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9564 and 9584.

How to find the GCF of 9564 and 9584?

We will first find the prime factorization of 9564 and 9584. After we will calculate the factors of 9564 and 9584 and find the biggest common factor number .

Step-1: Prime Factorization of 9564

Prime factors of 9564 are 2, 3, 797. Prime factorization of 9564 in exponential form is:

9564 = 2² × 3¹ × 797¹

Step-2: Prime Factorization of 9584

Prime factors of 9584 are 2, 599. Prime factorization of 9584 in exponential form is:

9584 = 2⁴ × 599¹

Step-3: Factors of 9564

List of positive integer factors of 9564 that divides 9564 without a remainder.

1, 2, 3, 4, 6, 12, 797, 1594, 2391, 3188, 4782

Step-4: Factors of 9584

List of positive integer factors of 9584 that divides 9564 without a remainder.

1, 2, 4, 8, 16, 599, 1198, 2396, 4792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9564 and 9584. The biggest common factor number is the GCF number.
So the greatest common factor 9564 and 9584 is 4.

Also check out the Least Common Multiple of 9564 and 9584