What is the Greatest Common Factor of 39625 and 39645?

Greatest common factor (GCF) of 39625 and 39645 is 5.

GCF(39625,39645) = 5

We will now calculate the prime factors of 39625 and 39645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39625 and 39645.

How to find the GCF of 39625 and 39645?

We will first find the prime factorization of 39625 and 39645. After we will calculate the factors of 39625 and 39645 and find the biggest common factor number .

Step-1: Prime Factorization of 39625

Prime factors of 39625 are 5, 317. Prime factorization of 39625 in exponential form is:

39625 = 5³ × 317¹

Step-2: Prime Factorization of 39645

Prime factors of 39645 are 3, 5, 881. Prime factorization of 39645 in exponential form is:

39645 = 3² × 5¹ × 881¹

Step-3: Factors of 39625

List of positive integer factors of 39625 that divides 39625 without a remainder.

1, 5, 25, 125, 317, 1585, 7925

Step-4: Factors of 39645

List of positive integer factors of 39645 that divides 39625 without a remainder.

1, 3, 5, 9, 15, 45, 881, 2643, 4405, 7929, 13215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39625 and 39645. The biggest common factor number is the GCF number.
So the greatest common factor 39625 and 39645 is 5.

Also check out the Least Common Multiple of 39625 and 39645