What is the Greatest Common Factor of 10935 and 10944?

Greatest common factor (GCF) of 10935 and 10944 is 9.

GCF(10935,10944) = 9

We will now calculate the prime factors of 10935 and 10944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10935 and 10944.

How to find the GCF of 10935 and 10944?

We will first find the prime factorization of 10935 and 10944. After we will calculate the factors of 10935 and 10944 and find the biggest common factor number .

Step-1: Prime Factorization of 10935

Prime factors of 10935 are 3, 5. Prime factorization of 10935 in exponential form is:

10935 = 3⁷ × 5¹

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 10935

List of positive integer factors of 10935 that divides 10935 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215, 2187, 3645

Step-4: Factors of 10944

List of positive integer factors of 10944 that divides 10935 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 10935 and 10944. The biggest common factor number is the GCF number.
So the greatest common factor 10935 and 10944 is 9.

Also check out the Least Common Multiple of 10935 and 10944