What is the Greatest Common Factor of 94200 and 94220?

Greatest common factor (GCF) of 94200 and 94220 is 20.

GCF(94200,94220) = 20

We will now calculate the prime factors of 94200 and 94220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94200 and 94220.

How to find the GCF of 94200 and 94220?

We will first find the prime factorization of 94200 and 94220. After we will calculate the factors of 94200 and 94220 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 94220

Prime factors of 94220 are 2, 5, 7, 673. Prime factorization of 94220 in exponential form is:

94220 = 2² × 5¹ × 7¹ × 673¹

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 94220

List of positive integer factors of 94220 that divides 94200 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 673, 1346, 2692, 3365, 4711, 6730, 9422, 13460, 18844, 23555, 47110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94200 and 94220. The biggest common factor number is the GCF number.
So the greatest common factor 94200 and 94220 is 20.

Also check out the Least Common Multiple of 94200 and 94220