What is the Greatest Common Factor of 94200 and 94211?

Greatest common factor (GCF) of 94200 and 94211 is 1.

GCF(94200,94211) = 1

We will now calculate the prime factors of 94200 and 94211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94200 and 94211.

How to find the GCF of 94200 and 94211?

We will first find the prime factorization of 94200 and 94211. After we will calculate the factors of 94200 and 94211 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 94211

Prime factors of 94211 are 13, 7247. Prime factorization of 94211 in exponential form is:

94211 = 13¹ × 7247¹

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 94211

List of positive integer factors of 94211 that divides 94200 without a remainder.

1, 13, 7247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94200 and 94211. The biggest common factor number is the GCF number.
So the greatest common factor 94200 and 94211 is 1.

Also check out the Least Common Multiple of 94200 and 94211