What is the Greatest Common Factor of 94200 and 94210?

Greatest common factor (GCF) of 94200 and 94210 is 10.

GCF(94200,94210) = 10

We will now calculate the prime factors of 94200 and 94210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94200 and 94210.

How to find the GCF of 94200 and 94210?

We will first find the prime factorization of 94200 and 94210. After we will calculate the factors of 94200 and 94210 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 94210

Prime factors of 94210 are 2, 5, 9421. Prime factorization of 94210 in exponential form is:

94210 = 2¹ × 5¹ × 9421¹

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 94210

List of positive integer factors of 94210 that divides 94200 without a remainder.

1, 2, 5, 10, 9421, 18842, 47105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94200 and 94210. The biggest common factor number is the GCF number.
So the greatest common factor 94200 and 94210 is 10.

Also check out the Least Common Multiple of 94200 and 94210