What is the Greatest Common Factor of 38415 and 38428?

Greatest common factor (GCF) of 38415 and 38428 is 13.

GCF(38415,38428) = 13

We will now calculate the prime factors of 38415 and 38428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38415 and 38428.

How to find the GCF of 38415 and 38428?

We will first find the prime factorization of 38415 and 38428. After we will calculate the factors of 38415 and 38428 and find the biggest common factor number .

Step-1: Prime Factorization of 38415

Prime factors of 38415 are 3, 5, 13, 197. Prime factorization of 38415 in exponential form is:

38415 = 3¹ × 5¹ × 13¹ × 197¹

Step-2: Prime Factorization of 38428

Prime factors of 38428 are 2, 13, 739. Prime factorization of 38428 in exponential form is:

38428 = 2² × 13¹ × 739¹

Step-3: Factors of 38415

List of positive integer factors of 38415 that divides 38415 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 197, 591, 985, 2561, 2955, 7683, 12805

Step-4: Factors of 38428

List of positive integer factors of 38428 that divides 38415 without a remainder.

1, 2, 4, 13, 26, 52, 739, 1478, 2956, 9607, 19214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38415 and 38428. The biggest common factor number is the GCF number.
So the greatest common factor 38415 and 38428 is 13.

Also check out the Least Common Multiple of 38415 and 38428