What is the Greatest Common Factor of 12625 and 12645?

Greatest common factor (GCF) of 12625 and 12645 is 5.

GCF(12625,12645) = 5

We will now calculate the prime factors of 12625 and 12645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12625 and 12645.

How to find the GCF of 12625 and 12645?

We will first find the prime factorization of 12625 and 12645. After we will calculate the factors of 12625 and 12645 and find the biggest common factor number .

Step-1: Prime Factorization of 12625

Prime factors of 12625 are 5, 101. Prime factorization of 12625 in exponential form is:

12625 = 5³ × 101¹

Step-2: Prime Factorization of 12645

Prime factors of 12645 are 3, 5, 281. Prime factorization of 12645 in exponential form is:

12645 = 3² × 5¹ × 281¹

Step-3: Factors of 12625

List of positive integer factors of 12625 that divides 12625 without a remainder.

1, 5, 25, 101, 125, 505, 2525

Step-4: Factors of 12645

List of positive integer factors of 12645 that divides 12625 without a remainder.

1, 3, 5, 9, 15, 45, 281, 843, 1405, 2529, 4215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12625 and 12645. The biggest common factor number is the GCF number.
So the greatest common factor 12625 and 12645 is 5.

Also check out the Least Common Multiple of 12625 and 12645