What is the Greatest Common Factor of 38625 and 38635?

Greatest common factor (GCF) of 38625 and 38635 is 5.

GCF(38625,38635) = 5

We will now calculate the prime factors of 38625 and 38635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38625 and 38635.

How to find the GCF of 38625 and 38635?

We will first find the prime factorization of 38625 and 38635. After we will calculate the factors of 38625 and 38635 and find the biggest common factor number .

Step-1: Prime Factorization of 38625

Prime factors of 38625 are 3, 5, 103. Prime factorization of 38625 in exponential form is:

38625 = 3¹ × 5³ × 103¹

Step-2: Prime Factorization of 38635

Prime factors of 38635 are 5, 7727. Prime factorization of 38635 in exponential form is:

38635 = 5¹ × 7727¹

Step-3: Factors of 38625

List of positive integer factors of 38625 that divides 38625 without a remainder.

1, 3, 5, 15, 25, 75, 103, 125, 309, 375, 515, 1545, 2575, 7725, 12875

Step-4: Factors of 38635

List of positive integer factors of 38635 that divides 38625 without a remainder.

1, 5, 7727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38625 and 38635. The biggest common factor number is the GCF number.
So the greatest common factor 38625 and 38635 is 5.

Also check out the Least Common Multiple of 38625 and 38635