What is the Greatest Common Factor of 94416 and 94424?

Greatest common factor (GCF) of 94416 and 94424 is 8.

GCF(94416,94424) = 8

We will now calculate the prime factors of 94416 and 94424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94416 and 94424.

How to find the GCF of 94416 and 94424?

We will first find the prime factorization of 94416 and 94424. After we will calculate the factors of 94416 and 94424 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 94424

Prime factors of 94424 are 2, 11, 29, 37. Prime factorization of 94424 in exponential form is:

94424 = 2³ × 11¹ × 29¹ × 37¹

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 94424

List of positive integer factors of 94424 that divides 94416 without a remainder.

1, 2, 4, 8, 11, 22, 29, 37, 44, 58, 74, 88, 116, 148, 232, 296, 319, 407, 638, 814, 1073, 1276, 1628, 2146, 2552, 3256, 4292, 8584, 11803, 23606, 47212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94416 and 94424. The biggest common factor number is the GCF number.
So the greatest common factor 94416 and 94424 is 8.

Also check out the Least Common Multiple of 94416 and 94424