What is the Greatest Common Factor of 9552 and 9567?

Greatest common factor (GCF) of 9552 and 9567 is 3.

GCF(9552,9567) = 3

We will now calculate the prime factors of 9552 and 9567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9552 and 9567.

How to find the GCF of 9552 and 9567?

We will first find the prime factorization of 9552 and 9567. After we will calculate the factors of 9552 and 9567 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 9567

Prime factors of 9567 are 3, 1063. Prime factorization of 9567 in exponential form is:

9567 = 3² × 1063¹

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 9567

List of positive integer factors of 9567 that divides 9552 without a remainder.

1, 3, 9, 1063, 3189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9552 and 9567. The biggest common factor number is the GCF number.
So the greatest common factor 9552 and 9567 is 3.

Also check out the Least Common Multiple of 9552 and 9567