What is the Greatest Common Factor of 14904 and 14916?

Greatest common factor (GCF) of 14904 and 14916 is 12.

GCF(14904,14916) = 12

We will now calculate the prime factors of 14904 and 14916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14904 and 14916.

How to find the GCF of 14904 and 14916?

We will first find the prime factorization of 14904 and 14916. After we will calculate the factors of 14904 and 14916 and find the biggest common factor number .

Step-1: Prime Factorization of 14904

Prime factors of 14904 are 2, 3, 23. Prime factorization of 14904 in exponential form is:

14904 = 2³ × 3⁴ × 23¹

Step-2: Prime Factorization of 14916

Prime factors of 14916 are 2, 3, 11, 113. Prime factorization of 14916 in exponential form is:

14916 = 2² × 3¹ × 11¹ × 113¹

Step-3: Factors of 14904

List of positive integer factors of 14904 that divides 14904 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 81, 92, 108, 138, 162, 184, 207, 216, 276, 324, 414, 552, 621, 648, 828, 1242, 1656, 1863, 2484, 3726, 4968, 7452

Step-4: Factors of 14916

List of positive integer factors of 14916 that divides 14904 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 113, 132, 226, 339, 452, 678, 1243, 1356, 2486, 3729, 4972, 7458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14904 and 14916. The biggest common factor number is the GCF number.
So the greatest common factor 14904 and 14916 is 12.

Also check out the Least Common Multiple of 14904 and 14916