What is the Greatest Common Factor of 14605 and 14625?

Greatest common factor (GCF) of 14605 and 14625 is 5.

GCF(14605,14625) = 5

We will now calculate the prime factors of 14605 and 14625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14605 and 14625.

How to find the GCF of 14605 and 14625?

We will first find the prime factorization of 14605 and 14625. After we will calculate the factors of 14605 and 14625 and find the biggest common factor number .

Step-1: Prime Factorization of 14605

Prime factors of 14605 are 5, 23, 127. Prime factorization of 14605 in exponential form is:

14605 = 5¹ × 23¹ × 127¹

Step-2: Prime Factorization of 14625

Prime factors of 14625 are 3, 5, 13. Prime factorization of 14625 in exponential form is:

14625 = 3² × 5³ × 13¹

Step-3: Factors of 14605

List of positive integer factors of 14605 that divides 14605 without a remainder.

1, 5, 23, 115, 127, 635, 2921

Step-4: Factors of 14625

List of positive integer factors of 14625 that divides 14605 without a remainder.

1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 125, 195, 225, 325, 375, 585, 975, 1125, 1625, 2925, 4875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14605 and 14625. The biggest common factor number is the GCF number.
So the greatest common factor 14605 and 14625 is 5.

Also check out the Least Common Multiple of 14605 and 14625