What is the Greatest Common Factor of 94575 and 94595?

Greatest common factor (GCF) of 94575 and 94595 is 5.

GCF(94575,94595) = 5

We will now calculate the prime factors of 94575 and 94595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94575 and 94595.

How to find the GCF of 94575 and 94595?

We will first find the prime factorization of 94575 and 94595. After we will calculate the factors of 94575 and 94595 and find the biggest common factor number .

Step-1: Prime Factorization of 94575

Prime factors of 94575 are 3, 5, 13, 97. Prime factorization of 94575 in exponential form is:

94575 = 3¹ × 5² × 13¹ × 97¹

Step-2: Prime Factorization of 94595

Prime factors of 94595 are 5, 18919. Prime factorization of 94595 in exponential form is:

94595 = 5¹ × 18919¹

Step-3: Factors of 94575

List of positive integer factors of 94575 that divides 94575 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 97, 195, 291, 325, 485, 975, 1261, 1455, 2425, 3783, 6305, 7275, 18915, 31525

Step-4: Factors of 94595

List of positive integer factors of 94595 that divides 94575 without a remainder.

1, 5, 18919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94575 and 94595. The biggest common factor number is the GCF number.
So the greatest common factor 94575 and 94595 is 5.

Also check out the Least Common Multiple of 94575 and 94595