What is the Greatest Common Factor of 94194 and 94200?

Greatest common factor (GCF) of 94194 and 94200 is 6.

GCF(94194,94200) = 6

We will now calculate the prime factors of 94194 and 94200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94194 and 94200.

How to find the GCF of 94194 and 94200?

We will first find the prime factorization of 94194 and 94200. After we will calculate the factors of 94194 and 94200 and find the biggest common factor number .

Step-1: Prime Factorization of 94194

Prime factors of 94194 are 2, 3, 5233. Prime factorization of 94194 in exponential form is:

94194 = 2¹ × 3² × 5233¹

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 94194

List of positive integer factors of 94194 that divides 94194 without a remainder.

1, 2, 3, 6, 9, 18, 5233, 10466, 15699, 31398, 47097

Step-4: Factors of 94200

List of positive integer factors of 94200 that divides 94194 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 94194 and 94200. The biggest common factor number is the GCF number.
So the greatest common factor 94194 and 94200 is 6.

Also check out the Least Common Multiple of 94194 and 94200