What is the Greatest Common Factor of 94360 and 94376?

Greatest common factor (GCF) of 94360 and 94376 is 8.

GCF(94360,94376) = 8

We will now calculate the prime factors of 94360 and 94376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94360 and 94376.

How to find the GCF of 94360 and 94376?

We will first find the prime factorization of 94360 and 94376. After we will calculate the factors of 94360 and 94376 and find the biggest common factor number .

Step-1: Prime Factorization of 94360

Prime factors of 94360 are 2, 5, 7, 337. Prime factorization of 94360 in exponential form is:

94360 = 2³ × 5¹ × 7¹ × 337¹

Step-2: Prime Factorization of 94376

Prime factors of 94376 are 2, 47, 251. Prime factorization of 94376 in exponential form is:

94376 = 2³ × 47¹ × 251¹

Step-3: Factors of 94360

List of positive integer factors of 94360 that divides 94360 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 337, 674, 1348, 1685, 2359, 2696, 3370, 4718, 6740, 9436, 11795, 13480, 18872, 23590, 47180

Step-4: Factors of 94376

List of positive integer factors of 94376 that divides 94360 without a remainder.

1, 2, 4, 8, 47, 94, 188, 251, 376, 502, 1004, 2008, 11797, 23594, 47188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94360 and 94376. The biggest common factor number is the GCF number.
So the greatest common factor 94360 and 94376 is 8.

Also check out the Least Common Multiple of 94360 and 94376