What is the Greatest Common Factor of 14475 and 14484?

Greatest common factor (GCF) of 14475 and 14484 is 3.

GCF(14475,14484) = 3

We will now calculate the prime factors of 14475 and 14484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14475 and 14484.

How to find the GCF of 14475 and 14484?

We will first find the prime factorization of 14475 and 14484. After we will calculate the factors of 14475 and 14484 and find the biggest common factor number .

Step-1: Prime Factorization of 14475

Prime factors of 14475 are 3, 5, 193. Prime factorization of 14475 in exponential form is:

14475 = 3¹ × 5² × 193¹

Step-2: 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-3: Factors of 14475

List of positive integer factors of 14475 that divides 14475 without a remainder.

1, 3, 5, 15, 25, 75, 193, 579, 965, 2895, 4825

Step-4: Factors of 14484

List of positive integer factors of 14484 that divides 14475 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14475 and 14484. The biggest common factor number is the GCF number.
So the greatest common factor 14475 and 14484 is 3.

Also check out the Least Common Multiple of 14475 and 14484