What is the Greatest Common Factor of 14475 and 14482?

Greatest common factor (GCF) of 14475 and 14482 is 1.

GCF(14475,14482) = 1

We will now calculate the prime factors of 14475 and 14482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14475 and 14482.

How to find the GCF of 14475 and 14482?

We will first find the prime factorization of 14475 and 14482. After we will calculate the factors of 14475 and 14482 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 14482

Prime factors of 14482 are 2, 13, 557. Prime factorization of 14482 in exponential form is:

14482 = 2¹ × 13¹ × 557¹

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 14482

List of positive integer factors of 14482 that divides 14475 without a remainder.

1, 2, 13, 26, 557, 1114, 7241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14475 and 14482. The biggest common factor number is the GCF number.
So the greatest common factor 14475 and 14482 is 1.

Also check out the Least Common Multiple of 14475 and 14482