What is the Greatest Common Factor of 94392 and 94400?

Greatest common factor (GCF) of 94392 and 94400 is 8.

GCF(94392,94400) = 8

We will now calculate the prime factors of 94392 and 94400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94392 and 94400.

How to find the GCF of 94392 and 94400?

We will first find the prime factorization of 94392 and 94400. After we will calculate the factors of 94392 and 94400 and find the biggest common factor number .

Step-1: Prime Factorization of 94392

Prime factors of 94392 are 2, 3, 19, 23. Prime factorization of 94392 in exponential form is:

94392 = 2³ × 3³ × 19¹ × 23¹

Step-2: 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-3: Factors of 94392

List of positive integer factors of 94392 that divides 94392 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 23, 24, 27, 36, 38, 46, 54, 57, 69, 72, 76, 92, 108, 114, 138, 152, 171, 184, 207, 216, 228, 276, 342, 414, 437, 456, 513, 552, 621, 684, 828, 874, 1026, 1242, 1311, 1368, 1656, 1748, 2052, 2484, 2622, 3496, 3933, 4104, 4968, 5244, 7866, 10488, 11799, 15732, 23598, 31464, 47196

Step-4: Factors of 94400

List of positive integer factors of 94400 that divides 94392 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94392 and 94400. The biggest common factor number is the GCF number.
So the greatest common factor 94392 and 94400 is 8.

Also check out the Least Common Multiple of 94392 and 94400