What is the Greatest Common Factor of 14904 and 14917?

Greatest common factor (GCF) of 14904 and 14917 is 1.

GCF(14904,14917) = 1

We will now calculate the prime factors of 14904 and 14917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14904 and 14917.

How to find the GCF of 14904 and 14917?

We will first find the prime factorization of 14904 and 14917. After we will calculate the factors of 14904 and 14917 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 14917

Prime factors of 14917 are 7, 2131. Prime factorization of 14917 in exponential form is:

14917 = 7¹ × 2131¹

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 14917

List of positive integer factors of 14917 that divides 14904 without a remainder.

1, 7, 2131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14904 and 14917. The biggest common factor number is the GCF number.
So the greatest common factor 14904 and 14917 is 1.

Also check out the Least Common Multiple of 14904 and 14917