What is the Greatest Common Factor of 94188 and 94206?

Greatest common factor (GCF) of 94188 and 94206 is 6.

GCF(94188,94206) = 6

We will now calculate the prime factors of 94188 and 94206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94188 and 94206.

How to find the GCF of 94188 and 94206?

We will first find the prime factorization of 94188 and 94206. After we will calculate the factors of 94188 and 94206 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 94206

Prime factors of 94206 are 2, 3, 7, 2243. Prime factorization of 94206 in exponential form is:

94206 = 2¹ × 3¹ × 7¹ × 2243¹

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 94206

List of positive integer factors of 94206 that divides 94188 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2243, 4486, 6729, 13458, 15701, 31402, 47103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94188 and 94206. The biggest common factor number is the GCF number.
So the greatest common factor 94188 and 94206 is 6.

Also check out the Least Common Multiple of 94188 and 94206