What is the Greatest Common Factor of 38625 and 38639?

Greatest common factor (GCF) of 38625 and 38639 is 1.

GCF(38625,38639) = 1

We will now calculate the prime factors of 38625 and 38639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38625 and 38639.

How to find the GCF of 38625 and 38639?

We will first find the prime factorization of 38625 and 38639. After we will calculate the factors of 38625 and 38639 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 38639

Prime factors of 38639 are 38639. Prime factorization of 38639 in exponential form is:

38639 = 38639¹

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 38639

List of positive integer factors of 38639 that divides 38625 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38625 and 38639. The biggest common factor number is the GCF number.
So the greatest common factor 38625 and 38639 is 1.

Also check out the Least Common Multiple of 38625 and 38639