What is the Greatest Common Factor of 59375 and 59380?

Greatest common factor (GCF) of 59375 and 59380 is 5.

GCF(59375,59380) = 5

We will now calculate the prime factors of 59375 and 59380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59375 and 59380.

How to find the GCF of 59375 and 59380?

We will first find the prime factorization of 59375 and 59380. After we will calculate the factors of 59375 and 59380 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 59380

Prime factors of 59380 are 2, 5, 2969. Prime factorization of 59380 in exponential form is:

59380 = 2² × 5¹ × 2969¹

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 59380

List of positive integer factors of 59380 that divides 59375 without a remainder.

1, 2, 4, 5, 10, 20, 2969, 5938, 11876, 14845, 29690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59375 and 59380. The biggest common factor number is the GCF number.
So the greatest common factor 59375 and 59380 is 5.

Also check out the Least Common Multiple of 59375 and 59380