What is the Greatest Common Factor of 9264 and 9270?

Greatest common factor (GCF) of 9264 and 9270 is 6.

GCF(9264,9270) = 6

We will now calculate the prime factors of 9264 and 9270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9264 and 9270.

How to find the GCF of 9264 and 9270?

We will first find the prime factorization of 9264 and 9270. After we will calculate the factors of 9264 and 9270 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 9270

Prime factors of 9270 are 2, 3, 5, 103. Prime factorization of 9270 in exponential form is:

9270 = 2¹ × 3² × 5¹ × 103¹

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 9270

List of positive integer factors of 9270 that divides 9264 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 103, 206, 309, 515, 618, 927, 1030, 1545, 1854, 3090, 4635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9264 and 9270. The biggest common factor number is the GCF number.
So the greatest common factor 9264 and 9270 is 6.

Also check out the Least Common Multiple of 9264 and 9270