What is the Greatest Common Factor of 94180 and 94188?

Greatest common factor (GCF) of 94180 and 94188 is 4.

GCF(94180,94188) = 4

We will now calculate the prime factors of 94180 and 94188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94180 and 94188.

How to find the GCF of 94180 and 94188?

We will first find the prime factorization of 94180 and 94188. After we will calculate the factors of 94180 and 94188 and find the biggest common factor number .

Step-1: Prime Factorization of 94180

Prime factors of 94180 are 2, 5, 17, 277. Prime factorization of 94180 in exponential form is:

94180 = 2² × 5¹ × 17¹ × 277¹

Step-2: 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-3: Factors of 94180

List of positive integer factors of 94180 that divides 94180 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 277, 340, 554, 1108, 1385, 2770, 4709, 5540, 9418, 18836, 23545, 47090

Step-4: Factors of 94188

List of positive integer factors of 94188 that divides 94180 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94180 and 94188. The biggest common factor number is the GCF number.
So the greatest common factor 94180 and 94188 is 4.

Also check out the Least Common Multiple of 94180 and 94188