What is the Greatest Common Factor of 93075 and 93090?

Greatest common factor (GCF) of 93075 and 93090 is 15.

GCF(93075,93090) = 15

We will now calculate the prime factors of 93075 and 93090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93075 and 93090.

How to find the GCF of 93075 and 93090?

We will first find the prime factorization of 93075 and 93090. After we will calculate the factors of 93075 and 93090 and find the biggest common factor number .

Step-1: Prime Factorization of 93075

Prime factors of 93075 are 3, 5, 17, 73. Prime factorization of 93075 in exponential form is:

93075 = 3¹ × 5² × 17¹ × 73¹

Step-2: Prime Factorization of 93090

Prime factors of 93090 are 2, 3, 5, 29, 107. Prime factorization of 93090 in exponential form is:

93090 = 2¹ × 3¹ × 5¹ × 29¹ × 107¹

Step-3: Factors of 93075

List of positive integer factors of 93075 that divides 93075 without a remainder.

1, 3, 5, 15, 17, 25, 51, 73, 75, 85, 219, 255, 365, 425, 1095, 1241, 1275, 1825, 3723, 5475, 6205, 18615, 31025

Step-4: Factors of 93090

List of positive integer factors of 93090 that divides 93075 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 107, 145, 174, 214, 290, 321, 435, 535, 642, 870, 1070, 1605, 3103, 3210, 6206, 9309, 15515, 18618, 31030, 46545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93075 and 93090. The biggest common factor number is the GCF number.
So the greatest common factor 93075 and 93090 is 15.

Also check out the Least Common Multiple of 93075 and 93090