What is the Greatest Common Factor of 94188 and 94204?

Greatest common factor (GCF) of 94188 and 94204 is 4.

GCF(94188,94204) = 4

We will now calculate the prime factors of 94188 and 94204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94188 and 94204.

How to find the GCF of 94188 and 94204?

We will first find the prime factorization of 94188 and 94204. After we will calculate the factors of 94188 and 94204 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 94204

Prime factors of 94204 are 2, 11, 2141. Prime factorization of 94204 in exponential form is:

94204 = 2² × 11¹ × 2141¹

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 94204

List of positive integer factors of 94204 that divides 94188 without a remainder.

1, 2, 4, 11, 22, 44, 2141, 4282, 8564, 23551, 47102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94188 and 94204. The biggest common factor number is the GCF number.
So the greatest common factor 94188 and 94204 is 4.

Also check out the Least Common Multiple of 94188 and 94204