What is the Greatest Common Factor of 14464 and 14475?

Greatest common factor (GCF) of 14464 and 14475 is 1.

GCF(14464,14475) = 1

We will now calculate the prime factors of 14464 and 14475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14464 and 14475.

How to find the GCF of 14464 and 14475?

We will first find the prime factorization of 14464 and 14475. After we will calculate the factors of 14464 and 14475 and find the biggest common factor number .

Step-1: Prime Factorization of 14464

Prime factors of 14464 are 2, 113. Prime factorization of 14464 in exponential form is:

14464 = 2⁷ × 113¹

Step-2: 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-3: Factors of 14464

List of positive integer factors of 14464 that divides 14464 without a remainder.

1, 2, 4, 8, 16, 32, 64, 113, 128, 226, 452, 904, 1808, 3616, 7232

Step-4: Factors of 14475

List of positive integer factors of 14475 that divides 14464 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14464 and 14475. The biggest common factor number is the GCF number.
So the greatest common factor 14464 and 14475 is 1.

Also check out the Least Common Multiple of 14464 and 14475