What is the Greatest Common Factor of 38625 and 38642?

Greatest common factor (GCF) of 38625 and 38642 is 1.

GCF(38625,38642) = 1

We will now calculate the prime factors of 38625 and 38642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38625 and 38642.

How to find the GCF of 38625 and 38642?

We will first find the prime factorization of 38625 and 38642. After we will calculate the factors of 38625 and 38642 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 38642

Prime factors of 38642 are 2, 139. Prime factorization of 38642 in exponential form is:

38642 = 2¹ × 139²

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 38642

List of positive integer factors of 38642 that divides 38625 without a remainder.

1, 2, 139, 278, 19321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38625 and 38642. The biggest common factor number is the GCF number.
So the greatest common factor 38625 and 38642 is 1.

Also check out the Least Common Multiple of 38625 and 38642