What is the Greatest Common Factor of 9552 and 9564?

Greatest common factor (GCF) of 9552 and 9564 is 12.

GCF(9552,9564) = 12

We will now calculate the prime factors of 9552 and 9564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9552 and 9564.

How to find the GCF of 9552 and 9564?

We will first find the prime factorization of 9552 and 9564. After we will calculate the factors of 9552 and 9564 and find the biggest common factor number .

Step-1: Prime Factorization of 9552

Prime factors of 9552 are 2, 3, 199. Prime factorization of 9552 in exponential form is:

9552 = 2⁴ × 3¹ × 199¹

Step-2: 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-3: Factors of 9552

List of positive integer factors of 9552 that divides 9552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 199, 398, 597, 796, 1194, 1592, 2388, 3184, 4776

Step-4: Factors of 9564

List of positive integer factors of 9564 that divides 9552 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9552 and 9564. The biggest common factor number is the GCF number.
So the greatest common factor 9552 and 9564 is 12.

Also check out the Least Common Multiple of 9552 and 9564