What is the Greatest Common Factor of 38625 and 38631?

Greatest common factor (GCF) of 38625 and 38631 is 3.

GCF(38625,38631) = 3

We will now calculate the prime factors of 38625 and 38631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38625 and 38631.

How to find the GCF of 38625 and 38631?

We will first find the prime factorization of 38625 and 38631. After we will calculate the factors of 38625 and 38631 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 38631

Prime factors of 38631 are 3, 79, 163. Prime factorization of 38631 in exponential form is:

38631 = 3¹ × 79¹ × 163¹

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 38631

List of positive integer factors of 38631 that divides 38625 without a remainder.

1, 3, 79, 163, 237, 489, 12877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38625 and 38631. The biggest common factor number is the GCF number.
So the greatest common factor 38625 and 38631 is 3.

Also check out the Least Common Multiple of 38625 and 38631