What is the Greatest Common Factor of 94575 and 94590?

Greatest common factor (GCF) of 94575 and 94590 is 15.

GCF(94575,94590) = 15

We will now calculate the prime factors of 94575 and 94590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94575 and 94590.

How to find the GCF of 94575 and 94590?

We will first find the prime factorization of 94575 and 94590. After we will calculate the factors of 94575 and 94590 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 94590

Prime factors of 94590 are 2, 3, 5, 1051. Prime factorization of 94590 in exponential form is:

94590 = 2¹ × 3² × 5¹ × 1051¹

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 94590

List of positive integer factors of 94590 that divides 94575 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1051, 2102, 3153, 5255, 6306, 9459, 10510, 15765, 18918, 31530, 47295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94575 and 94590. The biggest common factor number is the GCF number.
So the greatest common factor 94575 and 94590 is 15.

Also check out the Least Common Multiple of 94575 and 94590