What is the Greatest Common Factor of 38021 and 38025?

Greatest common factor (GCF) of 38021 and 38025 is 1.

GCF(38021,38025) = 1

We will now calculate the prime factors of 38021 and 38025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38021 and 38025.

How to find the GCF of 38021 and 38025?

We will first find the prime factorization of 38021 and 38025. After we will calculate the factors of 38021 and 38025 and find the biggest common factor number .

Step-1: Prime Factorization of 38021

Prime factors of 38021 are 193, 197. Prime factorization of 38021 in exponential form is:

38021 = 193¹ × 197¹

Step-2: Prime Factorization of 38025

Prime factors of 38025 are 3, 5, 13. Prime factorization of 38025 in exponential form is:

38025 = 3² × 5² × 13²

Step-3: Factors of 38021

List of positive integer factors of 38021 that divides 38021 without a remainder.

1, 193, 197

Step-4: Factors of 38025

List of positive integer factors of 38025 that divides 38021 without a remainder.

1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 169, 195, 225, 325, 507, 585, 845, 975, 1521, 2535, 2925, 4225, 7605, 12675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38021 and 38025. The biggest common factor number is the GCF number.
So the greatest common factor 38021 and 38025 is 1.

Also check out the Least Common Multiple of 38021 and 38025