What is the Greatest Common Factor of 59375 and 59381?

Greatest common factor (GCF) of 59375 and 59381 is 1.

GCF(59375,59381) = 1

We will now calculate the prime factors of 59375 and 59381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59375 and 59381.

How to find the GCF of 59375 and 59381?

We will first find the prime factorization of 59375 and 59381. After we will calculate the factors of 59375 and 59381 and find the biggest common factor number .

Step-1: Prime Factorization of 59375

Prime factors of 59375 are 5, 19. Prime factorization of 59375 in exponential form is:

59375 = 5⁵ × 19¹

Step-2: Prime Factorization of 59381

Prime factors of 59381 are 7, 17, 499. Prime factorization of 59381 in exponential form is:

59381 = 7¹ × 17¹ × 499¹

Step-3: Factors of 59375

List of positive integer factors of 59375 that divides 59375 without a remainder.

1, 5, 19, 25, 95, 125, 475, 625, 2375, 3125, 11875

Step-4: Factors of 59381

List of positive integer factors of 59381 that divides 59375 without a remainder.

1, 7, 17, 119, 499, 3493, 8483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59375 and 59381. The biggest common factor number is the GCF number.
So the greatest common factor 59375 and 59381 is 1.

Also check out the Least Common Multiple of 59375 and 59381