What is the Greatest Common Factor of 14976 and 14992?

Greatest common factor (GCF) of 14976 and 14992 is 16.

GCF(14976,14992) = 16

We will now calculate the prime factors of 14976 and 14992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14976 and 14992.

How to find the GCF of 14976 and 14992?

We will first find the prime factorization of 14976 and 14992. After we will calculate the factors of 14976 and 14992 and find the biggest common factor number .

Step-1: Prime Factorization of 14976

Prime factors of 14976 are 2, 3, 13. Prime factorization of 14976 in exponential form is:

14976 = 2⁷ × 3² × 13¹

Step-2: Prime Factorization of 14992

Prime factors of 14992 are 2, 937. Prime factorization of 14992 in exponential form is:

14992 = 2⁴ × 937¹

Step-3: Factors of 14976

List of positive integer factors of 14976 that divides 14976 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 64, 72, 78, 96, 104, 117, 128, 144, 156, 192, 208, 234, 288, 312, 384, 416, 468, 576, 624, 832, 936, 1152, 1248, 1664, 1872, 2496, 3744, 4992, 7488

Step-4: Factors of 14992

List of positive integer factors of 14992 that divides 14976 without a remainder.

1, 2, 4, 8, 16, 937, 1874, 3748, 7496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14976 and 14992. The biggest common factor number is the GCF number.
So the greatest common factor 14976 and 14992 is 16.

Also check out the Least Common Multiple of 14976 and 14992