What is the Greatest Common Factor of 94188 and 94203?

Greatest common factor (GCF) of 94188 and 94203 is 3.

GCF(94188,94203) = 3

We will now calculate the prime factors of 94188 and 94203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94188 and 94203.

How to find the GCF of 94188 and 94203?

We will first find the prime factorization of 94188 and 94203. After we will calculate the factors of 94188 and 94203 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 94203

Prime factors of 94203 are 3, 1163. Prime factorization of 94203 in exponential form is:

94203 = 3⁴ × 1163¹

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 94203

List of positive integer factors of 94203 that divides 94188 without a remainder.

1, 3, 9, 27, 81, 1163, 3489, 10467, 31401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94188 and 94203. The biggest common factor number is the GCF number.
So the greatest common factor 94188 and 94203 is 3.

Also check out the Least Common Multiple of 94188 and 94203