What is the Greatest Common Factor of 94416 and 94423?

Greatest common factor (GCF) of 94416 and 94423 is 7.

GCF(94416,94423) = 7

We will now calculate the prime factors of 94416 and 94423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94416 and 94423.

How to find the GCF of 94416 and 94423?

We will first find the prime factorization of 94416 and 94423. After we will calculate the factors of 94416 and 94423 and find the biggest common factor number .

Step-1: Prime Factorization of 94416

Prime factors of 94416 are 2, 3, 7, 281. Prime factorization of 94416 in exponential form is:

94416 = 2⁴ × 3¹ × 7¹ × 281¹

Step-2: Prime Factorization of 94423

Prime factors of 94423 are 7, 41, 47. Prime factorization of 94423 in exponential form is:

94423 = 7² × 41¹ × 47¹

Step-3: Factors of 94416

List of positive integer factors of 94416 that divides 94416 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 281, 336, 562, 843, 1124, 1686, 1967, 2248, 3372, 3934, 4496, 5901, 6744, 7868, 11802, 13488, 15736, 23604, 31472, 47208

Step-4: Factors of 94423

List of positive integer factors of 94423 that divides 94416 without a remainder.

1, 7, 41, 47, 49, 287, 329, 1927, 2009, 2303, 13489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94416 and 94423. The biggest common factor number is the GCF number.
So the greatest common factor 94416 and 94423 is 7.

Also check out the Least Common Multiple of 94416 and 94423