What is the Greatest Common Factor of 14457 and 14475?

Greatest common factor (GCF) of 14457 and 14475 is 3.

GCF(14457,14475) = 3

We will now calculate the prime factors of 14457 and 14475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14457 and 14475.

How to find the GCF of 14457 and 14475?

We will first find the prime factorization of 14457 and 14475. After we will calculate the factors of 14457 and 14475 and find the biggest common factor number .

Step-1: Prime Factorization of 14457

Prime factors of 14457 are 3, 61, 79. Prime factorization of 14457 in exponential form is:

14457 = 3¹ × 61¹ × 79¹

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 14457

List of positive integer factors of 14457 that divides 14457 without a remainder.

1, 3, 61, 79, 183, 237, 4819

Step-4: Factors of 14475

List of positive integer factors of 14475 that divides 14457 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 14457 and 14475. The biggest common factor number is the GCF number.
So the greatest common factor 14457 and 14475 is 3.

Also check out the Least Common Multiple of 14457 and 14475