What is the Greatest Common Factor of 10938 and 10944?

Greatest common factor (GCF) of 10938 and 10944 is 6.

GCF(10938,10944) = 6

We will now calculate the prime factors of 10938 and 10944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10938 and 10944.

How to find the GCF of 10938 and 10944?

We will first find the prime factorization of 10938 and 10944. After we will calculate the factors of 10938 and 10944 and find the biggest common factor number .

Step-1: Prime Factorization of 10938

Prime factors of 10938 are 2, 3, 1823. Prime factorization of 10938 in exponential form is:

10938 = 2¹ × 3¹ × 1823¹

Step-2: 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-3: Factors of 10938

List of positive integer factors of 10938 that divides 10938 without a remainder.

1, 2, 3, 6, 1823, 3646, 5469

Step-4: Factors of 10944

List of positive integer factors of 10944 that divides 10938 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10938 and 10944. The biggest common factor number is the GCF number.
So the greatest common factor 10938 and 10944 is 6.

Also check out the Least Common Multiple of 10938 and 10944