What is the Greatest Common Factor of 94575 and 94588?

Greatest common factor (GCF) of 94575 and 94588 is 13.

GCF(94575,94588) = 13

We will now calculate the prime factors of 94575 and 94588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94575 and 94588.

How to find the GCF of 94575 and 94588?

We will first find the prime factorization of 94575 and 94588. After we will calculate the factors of 94575 and 94588 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 94588

Prime factors of 94588 are 2, 13, 17, 107. Prime factorization of 94588 in exponential form is:

94588 = 2² × 13¹ × 17¹ × 107¹

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 94588

List of positive integer factors of 94588 that divides 94575 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 107, 214, 221, 428, 442, 884, 1391, 1819, 2782, 3638, 5564, 7276, 23647, 47294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94575 and 94588. The biggest common factor number is the GCF number.
So the greatest common factor 94575 and 94588 is 13.

Also check out the Least Common Multiple of 94575 and 94588