What is the Greatest Common Factor of 38457 and 38475?

Greatest common factor (GCF) of 38457 and 38475 is 9.

GCF(38457,38475) = 9

We will now calculate the prime factors of 38457 and 38475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38457 and 38475.

How to find the GCF of 38457 and 38475?

We will first find the prime factorization of 38457 and 38475. After we will calculate the factors of 38457 and 38475 and find the biggest common factor number .

Step-1: Prime Factorization of 38457

Prime factors of 38457 are 3, 4273. Prime factorization of 38457 in exponential form is:

38457 = 3² × 4273¹

Step-2: Prime Factorization of 38475

Prime factors of 38475 are 3, 5, 19. Prime factorization of 38475 in exponential form is:

38475 = 3⁴ × 5² × 19¹

Step-3: Factors of 38457

List of positive integer factors of 38457 that divides 38457 without a remainder.

1, 3, 9, 4273, 12819

Step-4: Factors of 38475

List of positive integer factors of 38475 that divides 38457 without a remainder.

1, 3, 5, 9, 15, 19, 25, 27, 45, 57, 75, 81, 95, 135, 171, 225, 285, 405, 475, 513, 675, 855, 1425, 1539, 2025, 2565, 4275, 7695, 12825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38457 and 38475. The biggest common factor number is the GCF number.
So the greatest common factor 38457 and 38475 is 9.

Also check out the Least Common Multiple of 38457 and 38475