What is the Greatest Common Factor of 38014 and 38025?

Greatest common factor (GCF) of 38014 and 38025 is 1.

GCF(38014,38025) = 1

We will now calculate the prime factors of 38014 and 38025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38014 and 38025.

How to find the GCF of 38014 and 38025?

We will first find the prime factorization of 38014 and 38025. After we will calculate the factors of 38014 and 38025 and find the biggest common factor number .

Step-1: Prime Factorization of 38014

Prime factors of 38014 are 2, 83, 229. Prime factorization of 38014 in exponential form is:

38014 = 2¹ × 83¹ × 229¹

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 38014

List of positive integer factors of 38014 that divides 38014 without a remainder.

1, 2, 83, 166, 229, 458, 19007

Step-4: Factors of 38025

List of positive integer factors of 38025 that divides 38014 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 38014 and 38025. The biggest common factor number is the GCF number.
So the greatest common factor 38014 and 38025 is 1.

Also check out the Least Common Multiple of 38014 and 38025