What is the Greatest Common Factor of 10925 and 10944?

Greatest common factor (GCF) of 10925 and 10944 is 19.

GCF(10925,10944) = 19

We will now calculate the prime factors of 10925 and 10944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10925 and 10944.

How to find the GCF of 10925 and 10944?

We will first find the prime factorization of 10925 and 10944. After we will calculate the factors of 10925 and 10944 and find the biggest common factor number .

Step-1: Prime Factorization of 10925

Prime factors of 10925 are 5, 19, 23. Prime factorization of 10925 in exponential form is:

10925 = 5² × 19¹ × 23¹

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 10925

List of positive integer factors of 10925 that divides 10925 without a remainder.

1, 5, 19, 23, 25, 95, 115, 437, 475, 575, 2185

Step-4: Factors of 10944

List of positive integer factors of 10944 that divides 10925 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 10925 and 10944. The biggest common factor number is the GCF number.
So the greatest common factor 10925 and 10944 is 19.

Also check out the Least Common Multiple of 10925 and 10944