What is the Greatest Common Factor of 10944 and 10953?

Greatest common factor (GCF) of 10944 and 10953 is 9.

GCF(10944,10953) = 9

We will now calculate the prime factors of 10944 and 10953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10944 and 10953.

How to find the GCF of 10944 and 10953?

We will first find the prime factorization of 10944 and 10953. After we will calculate the factors of 10944 and 10953 and find the biggest common factor number .

Step-1: Prime Factorization of 10944

Prime factors of 10944 are 2, 3, 19. Prime factorization of 10944 in exponential form is:

10944 = 2⁶ × 3² × 19¹

Step-2: Prime Factorization of 10953

Prime factors of 10953 are 3, 1217. Prime factorization of 10953 in exponential form is:

10953 = 3² × 1217¹

Step-3: Factors of 10944

List of positive integer factors of 10944 that divides 10944 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48, 57, 64, 72, 76, 96, 114, 144, 152, 171, 192, 228, 288, 304, 342, 456, 576, 608, 684, 912, 1216, 1368, 1824, 2736, 3648, 5472

Step-4: Factors of 10953

List of positive integer factors of 10953 that divides 10944 without a remainder.

1, 3, 9, 1217, 3651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10944 and 10953. The biggest common factor number is the GCF number.
So the greatest common factor 10944 and 10953 is 9.

Also check out the Least Common Multiple of 10944 and 10953