What is the Greatest Common Factor of 38025 and 38034?

Greatest common factor (GCF) of 38025 and 38034 is 9.

GCF(38025,38034) = 9

We will now calculate the prime factors of 38025 and 38034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38025 and 38034.

How to find the GCF of 38025 and 38034?

We will first find the prime factorization of 38025 and 38034. After we will calculate the factors of 38025 and 38034 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38034

Prime factors of 38034 are 2, 3, 2113. Prime factorization of 38034 in exponential form is:

38034 = 2¹ × 3² × 2113¹

Step-3: Factors of 38025

List of positive integer factors of 38025 that divides 38025 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

Step-4: Factors of 38034

List of positive integer factors of 38034 that divides 38025 without a remainder.

1, 2, 3, 6, 9, 18, 2113, 4226, 6339, 12678, 19017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38025 and 38034. The biggest common factor number is the GCF number.
So the greatest common factor 38025 and 38034 is 9.

Also check out the Least Common Multiple of 38025 and 38034