What is the Greatest Common Factor of 14484 and 14501?

Greatest common factor (GCF) of 14484 and 14501 is 17.

GCF(14484,14501) = 17

We will now calculate the prime factors of 14484 and 14501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14484 and 14501.

How to find the GCF of 14484 and 14501?

We will first find the prime factorization of 14484 and 14501. After we will calculate the factors of 14484 and 14501 and find the biggest common factor number .

Step-1: Prime Factorization of 14484

Prime factors of 14484 are 2, 3, 17, 71. Prime factorization of 14484 in exponential form is:

14484 = 2² × 3¹ × 17¹ × 71¹

Step-2: Prime Factorization of 14501

Prime factors of 14501 are 17, 853. Prime factorization of 14501 in exponential form is:

14501 = 17¹ × 853¹

Step-3: Factors of 14484

List of positive integer factors of 14484 that divides 14484 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 71, 102, 142, 204, 213, 284, 426, 852, 1207, 2414, 3621, 4828, 7242

Step-4: Factors of 14501

List of positive integer factors of 14501 that divides 14484 without a remainder.

1, 17, 853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14484 and 14501. The biggest common factor number is the GCF number.
So the greatest common factor 14484 and 14501 is 17.

Also check out the Least Common Multiple of 14484 and 14501