What is the Greatest Common Factor of 10944 and 10959?

Greatest common factor (GCF) of 10944 and 10959 is 3.

GCF(10944,10959) = 3

We will now calculate the prime factors of 10944 and 10959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10944 and 10959.

How to find the GCF of 10944 and 10959?

We will first find the prime factorization of 10944 and 10959. After we will calculate the factors of 10944 and 10959 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 10959

Prime factors of 10959 are 3, 13, 281. Prime factorization of 10959 in exponential form is:

10959 = 3¹ × 13¹ × 281¹

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 10959

List of positive integer factors of 10959 that divides 10944 without a remainder.

1, 3, 13, 39, 281, 843, 3653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10944 and 10959. The biggest common factor number is the GCF number.
So the greatest common factor 10944 and 10959 is 3.

Also check out the Least Common Multiple of 10944 and 10959