What is the Greatest Common Factor of 14625 and 14629?

Greatest common factor (GCF) of 14625 and 14629 is 1.

GCF(14625,14629) = 1

We will now calculate the prime factors of 14625 and 14629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14625 and 14629.

How to find the GCF of 14625 and 14629?

We will first find the prime factorization of 14625 and 14629. After we will calculate the factors of 14625 and 14629 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14629

Prime factors of 14629 are 14629. Prime factorization of 14629 in exponential form is:

14629 = 14629¹

Step-3: Factors of 14625

List of positive integer factors of 14625 that divides 14625 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

Step-4: Factors of 14629

List of positive integer factors of 14629 that divides 14625 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14625 and 14629. The biggest common factor number is the GCF number.
So the greatest common factor 14625 and 14629 is 1.

Also check out the Least Common Multiple of 14625 and 14629