What is the Greatest Common Factor of 10944 and 10950?

Greatest common factor (GCF) of 10944 and 10950 is 6.

GCF(10944,10950) = 6

We will now calculate the prime factors of 10944 and 10950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10944 and 10950.

How to find the GCF of 10944 and 10950?

We will first find the prime factorization of 10944 and 10950. After we will calculate the factors of 10944 and 10950 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 10950

Prime factors of 10950 are 2, 3, 5, 73. Prime factorization of 10950 in exponential form is:

10950 = 2¹ × 3¹ × 5² × 73¹

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 10950

List of positive integer factors of 10950 that divides 10944 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 73, 75, 146, 150, 219, 365, 438, 730, 1095, 1825, 2190, 3650, 5475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10944 and 10950. The biggest common factor number is the GCF number.
So the greatest common factor 10944 and 10950 is 6.

Also check out the Least Common Multiple of 10944 and 10950