What is the Greatest Common Factor of 14976 and 14988?

Greatest common factor (GCF) of 14976 and 14988 is 12.

GCF(14976,14988) = 12

We will now calculate the prime factors of 14976 and 14988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14976 and 14988.

How to find the GCF of 14976 and 14988?

We will first find the prime factorization of 14976 and 14988. After we will calculate the factors of 14976 and 14988 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 14988

Prime factors of 14988 are 2, 3, 1249. Prime factorization of 14988 in exponential form is:

14988 = 2² × 3¹ × 1249¹

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 14988

List of positive integer factors of 14988 that divides 14976 without a remainder.

1, 2, 3, 4, 6, 12, 1249, 2498, 3747, 4996, 7494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14976 and 14988. The biggest common factor number is the GCF number.
So the greatest common factor 14976 and 14988 is 12.

Also check out the Least Common Multiple of 14976 and 14988