What is the Greatest Common Factor of 94569 and 94575?

Greatest common factor (GCF) of 94569 and 94575 is 3.

GCF(94569,94575) = 3

We will now calculate the prime factors of 94569 and 94575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94569 and 94575.

How to find the GCF of 94569 and 94575?

We will first find the prime factorization of 94569 and 94575. After we will calculate the factors of 94569 and 94575 and find the biggest common factor number .

Step-1: Prime Factorization of 94569

Prime factors of 94569 are 3, 29, 1087. Prime factorization of 94569 in exponential form is:

94569 = 3¹ × 29¹ × 1087¹

Step-2: 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-3: Factors of 94569

List of positive integer factors of 94569 that divides 94569 without a remainder.

1, 3, 29, 87, 1087, 3261, 31523

Step-4: Factors of 94575

List of positive integer factors of 94575 that divides 94569 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94569 and 94575. The biggest common factor number is the GCF number.
So the greatest common factor 94569 and 94575 is 3.

Also check out the Least Common Multiple of 94569 and 94575