What is the Greatest Common Factor of 14904 and 14923?

Greatest common factor (GCF) of 14904 and 14923 is 1.

GCF(14904,14923) = 1

We will now calculate the prime factors of 14904 and 14923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14904 and 14923.

How to find the GCF of 14904 and 14923?

We will first find the prime factorization of 14904 and 14923. After we will calculate the factors of 14904 and 14923 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 14923

Prime factors of 14923 are 14923. Prime factorization of 14923 in exponential form is:

14923 = 14923¹

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 14923

List of positive integer factors of 14923 that divides 14904 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14904 and 14923. The biggest common factor number is the GCF number.
So the greatest common factor 14904 and 14923 is 1.

Also check out the Least Common Multiple of 14904 and 14923