What is the Greatest Common Factor of 94188 and 94200?

Greatest common factor (GCF) of 94188 and 94200 is 12.

GCF(94188,94200) = 12

We will now calculate the prime factors of 94188 and 94200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94188 and 94200.

How to find the GCF of 94188 and 94200?

We will first find the prime factorization of 94188 and 94200. After we will calculate the factors of 94188 and 94200 and find the biggest common factor number .

Step-1: Prime Factorization of 94188

Prime factors of 94188 are 2, 3, 47, 167. Prime factorization of 94188 in exponential form is:

94188 = 2² × 3¹ × 47¹ × 167¹

Step-2: 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-3: Factors of 94188

List of positive integer factors of 94188 that divides 94188 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 167, 188, 282, 334, 501, 564, 668, 1002, 2004, 7849, 15698, 23547, 31396, 47094

Step-4: Factors of 94200

List of positive integer factors of 94200 that divides 94188 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94188 and 94200. The biggest common factor number is the GCF number.
So the greatest common factor 94188 and 94200 is 12.

Also check out the Least Common Multiple of 94188 and 94200