What is the Greatest Common Factor of 38465 and 38475?

Greatest common factor (GCF) of 38465 and 38475 is 5.

GCF(38465,38475) = 5

We will now calculate the prime factors of 38465 and 38475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38465 and 38475.

How to find the GCF of 38465 and 38475?

We will first find the prime factorization of 38465 and 38475. After we will calculate the factors of 38465 and 38475 and find the biggest common factor number .

Step-1: Prime Factorization of 38465

Prime factors of 38465 are 5, 7, 157. Prime factorization of 38465 in exponential form is:

38465 = 5¹ × 7² × 157¹

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 38465

List of positive integer factors of 38465 that divides 38465 without a remainder.

1, 5, 7, 35, 49, 157, 245, 785, 1099, 5495, 7693

Step-4: Factors of 38475

List of positive integer factors of 38475 that divides 38465 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 38465 and 38475. The biggest common factor number is the GCF number.
So the greatest common factor 38465 and 38475 is 5.

Also check out the Least Common Multiple of 38465 and 38475