What is the Greatest Common Factor of 39625 and 39630?

Greatest common factor (GCF) of 39625 and 39630 is 5.

GCF(39625,39630) = 5

We will now calculate the prime factors of 39625 and 39630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39625 and 39630.

How to find the GCF of 39625 and 39630?

We will first find the prime factorization of 39625 and 39630. After we will calculate the factors of 39625 and 39630 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 39630

Prime factors of 39630 are 2, 3, 5, 1321. Prime factorization of 39630 in exponential form is:

39630 = 2¹ × 3¹ × 5¹ × 1321¹

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 39630

List of positive integer factors of 39630 that divides 39625 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1321, 2642, 3963, 6605, 7926, 13210, 19815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39625 and 39630. The biggest common factor number is the GCF number.
So the greatest common factor 39625 and 39630 is 5.

Also check out the Least Common Multiple of 39625 and 39630