What is the Greatest Common Factor of 94355 and 94375?

Greatest common factor (GCF) of 94355 and 94375 is 5.

GCF(94355,94375) = 5

We will now calculate the prime factors of 94355 and 94375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94355 and 94375.

How to find the GCF of 94355 and 94375?

We will first find the prime factorization of 94355 and 94375. After we will calculate the factors of 94355 and 94375 and find the biggest common factor number .

Step-1: Prime Factorization of 94355

Prime factors of 94355 are 5, 113, 167. Prime factorization of 94355 in exponential form is:

94355 = 5¹ × 113¹ × 167¹

Step-2: Prime Factorization of 94375

Prime factors of 94375 are 5, 151. Prime factorization of 94375 in exponential form is:

94375 = 5⁴ × 151¹

Step-3: Factors of 94355

List of positive integer factors of 94355 that divides 94355 without a remainder.

1, 5, 113, 167, 565, 835, 18871

Step-4: Factors of 94375

List of positive integer factors of 94375 that divides 94355 without a remainder.

1, 5, 25, 125, 151, 625, 755, 3775, 18875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94355 and 94375. The biggest common factor number is the GCF number.
So the greatest common factor 94355 and 94375 is 5.

Also check out the Least Common Multiple of 94355 and 94375