What is the Greatest Common Factor of 39605 and 39625?

Greatest common factor (GCF) of 39605 and 39625 is 5.

GCF(39605,39625) = 5

We will now calculate the prime factors of 39605 and 39625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39605 and 39625.

How to find the GCF of 39605 and 39625?

We will first find the prime factorization of 39605 and 39625. After we will calculate the factors of 39605 and 39625 and find the biggest common factor number .

Step-1: Prime Factorization of 39605

Prime factors of 39605 are 5, 89. Prime factorization of 39605 in exponential form is:

39605 = 5¹ × 89²

Step-2: Prime Factorization of 39625

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

39625 = 5³ × 317¹

Step-3: Factors of 39605

List of positive integer factors of 39605 that divides 39605 without a remainder.

1, 5, 89, 445, 7921

Step-4: Factors of 39625

List of positive integer factors of 39625 that divides 39605 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39605 and 39625. The biggest common factor number is the GCF number.
So the greatest common factor 39605 and 39625 is 5.

Also check out the Least Common Multiple of 39605 and 39625