What is the Greatest Common Factor of 10944 and 10952?

Greatest common factor (GCF) of 10944 and 10952 is 8.

GCF(10944,10952) = 8

We will now calculate the prime factors of 10944 and 10952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10944 and 10952.

How to find the GCF of 10944 and 10952?

We will first find the prime factorization of 10944 and 10952. After we will calculate the factors of 10944 and 10952 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 10952

Prime factors of 10952 are 2, 37. Prime factorization of 10952 in exponential form is:

10952 = 2³ × 37²

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 10952

List of positive integer factors of 10952 that divides 10944 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296, 1369, 2738, 5476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10944 and 10952. The biggest common factor number is the GCF number.
So the greatest common factor 10944 and 10952 is 8.

Also check out the Least Common Multiple of 10944 and 10952