What is the Greatest Common Factor of 94200 and 94215?

Greatest common factor (GCF) of 94200 and 94215 is 15.

GCF(94200,94215) = 15

We will now calculate the prime factors of 94200 and 94215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94200 and 94215.

How to find the GCF of 94200 and 94215?

We will first find the prime factorization of 94200 and 94215. After we will calculate the factors of 94200 and 94215 and find the biggest common factor number .

Step-1: Prime Factorization of 94200

Prime factors of 94200 are 2, 3, 5, 157. Prime factorization of 94200 in exponential form is:

94200 = 2³ × 3¹ × 5² × 157¹

Step-2: Prime Factorization of 94215

Prime factors of 94215 are 3, 5, 11, 571. Prime factorization of 94215 in exponential form is:

94215 = 3¹ × 5¹ × 11¹ × 571¹

Step-3: Factors of 94200

List of positive integer factors of 94200 that divides 94200 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 157, 200, 300, 314, 471, 600, 628, 785, 942, 1256, 1570, 1884, 2355, 3140, 3768, 3925, 4710, 6280, 7850, 9420, 11775, 15700, 18840, 23550, 31400, 47100

Step-4: Factors of 94215

List of positive integer factors of 94215 that divides 94200 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 571, 1713, 2855, 6281, 8565, 18843, 31405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94200 and 94215. The biggest common factor number is the GCF number.
So the greatest common factor 94200 and 94215 is 15.

Also check out the Least Common Multiple of 94200 and 94215