What is the Greatest Common Factor of 38475 and 38489?

Greatest common factor (GCF) of 38475 and 38489 is 1.

GCF(38475,38489) = 1

We will now calculate the prime factors of 38475 and 38489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38475 and 38489.

How to find the GCF of 38475 and 38489?

We will first find the prime factorization of 38475 and 38489. After we will calculate the factors of 38475 and 38489 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38489

Prime factors of 38489 are 11, 3499. Prime factorization of 38489 in exponential form is:

38489 = 11¹ × 3499¹

Step-3: Factors of 38475

List of positive integer factors of 38475 that divides 38475 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

Step-4: Factors of 38489

List of positive integer factors of 38489 that divides 38475 without a remainder.

1, 11, 3499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38475 and 38489. The biggest common factor number is the GCF number.
So the greatest common factor 38475 and 38489 is 1.

Also check out the Least Common Multiple of 38475 and 38489