What is the Greatest Common Factor of 10944 and 10956?

Greatest common factor (GCF) of 10944 and 10956 is 12.

GCF(10944,10956) = 12

We will now calculate the prime factors of 10944 and 10956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10944 and 10956.

How to find the GCF of 10944 and 10956?

We will first find the prime factorization of 10944 and 10956. After we will calculate the factors of 10944 and 10956 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 10956

Prime factors of 10956 are 2, 3, 11, 83. Prime factorization of 10956 in exponential form is:

10956 = 2² × 3¹ × 11¹ × 83¹

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 10956

List of positive integer factors of 10956 that divides 10944 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 83, 132, 166, 249, 332, 498, 913, 996, 1826, 2739, 3652, 5478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10944 and 10956. The biggest common factor number is the GCF number.
So the greatest common factor 10944 and 10956 is 12.

Also check out the Least Common Multiple of 10944 and 10956