What is the Greatest Common Factor of 9264 and 9282?

Greatest common factor (GCF) of 9264 and 9282 is 6.

GCF(9264,9282) = 6

We will now calculate the prime factors of 9264 and 9282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9264 and 9282.

How to find the GCF of 9264 and 9282?

We will first find the prime factorization of 9264 and 9282. After we will calculate the factors of 9264 and 9282 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9282

Prime factors of 9282 are 2, 3, 7, 13, 17. Prime factorization of 9282 in exponential form is:

9282 = 2¹ × 3¹ × 7¹ × 13¹ × 17¹

Step-3: Factors of 9264

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

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

Step-4: Factors of 9282

List of positive integer factors of 9282 that divides 9264 without a remainder.

1, 2, 3, 6, 7, 13, 14, 17, 21, 26, 34, 39, 42, 51, 78, 91, 102, 119, 182, 221, 238, 273, 357, 442, 546, 663, 714, 1326, 1547, 3094, 4641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9264 and 9282. The biggest common factor number is the GCF number.
So the greatest common factor 9264 and 9282 is 6.

Also check out the Least Common Multiple of 9264 and 9282