What is the Greatest Common Factor of 14904 and 14924?

Greatest common factor (GCF) of 14904 and 14924 is 4.

GCF(14904,14924) = 4

We will now calculate the prime factors of 14904 and 14924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14904 and 14924.

How to find the GCF of 14904 and 14924?

We will first find the prime factorization of 14904 and 14924. After we will calculate the factors of 14904 and 14924 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 14924

Prime factors of 14924 are 2, 7, 13, 41. Prime factorization of 14924 in exponential form is:

14924 = 2² × 7¹ × 13¹ × 41¹

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 14924

List of positive integer factors of 14924 that divides 14904 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 41, 52, 82, 91, 164, 182, 287, 364, 533, 574, 1066, 1148, 2132, 3731, 7462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14904 and 14924. The biggest common factor number is the GCF number.
So the greatest common factor 14904 and 14924 is 4.

Also check out the Least Common Multiple of 14904 and 14924