What is the Greatest Common Factor of 94400 and 94416?

Greatest common factor (GCF) of 94400 and 94416 is 16.

GCF(94400,94416) = 16

We will now calculate the prime factors of 94400 and 94416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94400 and 94416.

How to find the GCF of 94400 and 94416?

We will first find the prime factorization of 94400 and 94416. After we will calculate the factors of 94400 and 94416 and find the biggest common factor number .

Step-1: Prime Factorization of 94400

Prime factors of 94400 are 2, 5, 59. Prime factorization of 94400 in exponential form is:

94400 = 2⁶ × 5² × 59¹

Step-2: 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-3: Factors of 94400

List of positive integer factors of 94400 that divides 94400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 59, 64, 80, 100, 118, 160, 200, 236, 295, 320, 400, 472, 590, 800, 944, 1180, 1475, 1600, 1888, 2360, 2950, 3776, 4720, 5900, 9440, 11800, 18880, 23600, 47200

Step-4: Factors of 94416

List of positive integer factors of 94416 that divides 94400 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94400 and 94416. The biggest common factor number is the GCF number.
So the greatest common factor 94400 and 94416 is 16.

Also check out the Least Common Multiple of 94400 and 94416