What is the Greatest Common Factor of 9252 and 9264?

Greatest common factor (GCF) of 9252 and 9264 is 12.

GCF(9252,9264) = 12

We will now calculate the prime factors of 9252 and 9264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9252 and 9264.

How to find the GCF of 9252 and 9264?

We will first find the prime factorization of 9252 and 9264. After we will calculate the factors of 9252 and 9264 and find the biggest common factor number .

Step-1: Prime Factorization of 9252

Prime factors of 9252 are 2, 3, 257. Prime factorization of 9252 in exponential form is:

9252 = 2² × 3² × 257¹

Step-2: Prime Factorization of 9264

Prime factors of 9264 are 2, 3, 193. Prime factorization of 9264 in exponential form is:

9264 = 2⁴ × 3¹ × 193¹

Step-3: Factors of 9252

List of positive integer factors of 9252 that divides 9252 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 257, 514, 771, 1028, 1542, 2313, 3084, 4626

Step-4: Factors of 9264

List of positive integer factors of 9264 that divides 9252 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 193, 386, 579, 772, 1158, 1544, 2316, 3088, 4632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9252 and 9264. The biggest common factor number is the GCF number.
So the greatest common factor 9252 and 9264 is 12.

Also check out the Least Common Multiple of 9252 and 9264