What is the Greatest Common Factor of 94464 and 94480?

Greatest common factor (GCF) of 94464 and 94480 is 16.

GCF(94464,94480) = 16

We will now calculate the prime factors of 94464 and 94480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94464 and 94480.

How to find the GCF of 94464 and 94480?

We will first find the prime factorization of 94464 and 94480. After we will calculate the factors of 94464 and 94480 and find the biggest common factor number .

Step-1: Prime Factorization of 94464

Prime factors of 94464 are 2, 3, 41. Prime factorization of 94464 in exponential form is:

94464 = 2⁸ × 3² × 41¹

Step-2: Prime Factorization of 94480

Prime factors of 94480 are 2, 5, 1181. Prime factorization of 94480 in exponential form is:

94480 = 2⁴ × 5¹ × 1181¹

Step-3: Factors of 94464

List of positive integer factors of 94464 that divides 94464 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 41, 48, 64, 72, 82, 96, 123, 128, 144, 164, 192, 246, 256, 288, 328, 369, 384, 492, 576, 656, 738, 768, 984, 1152, 1312, 1476, 1968, 2304, 2624, 2952, 3936, 5248, 5904, 7872, 10496, 11808, 15744, 23616, 31488, 47232

Step-4: Factors of 94480

List of positive integer factors of 94480 that divides 94464 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1181, 2362, 4724, 5905, 9448, 11810, 18896, 23620, 47240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94464 and 94480. The biggest common factor number is the GCF number.
So the greatest common factor 94464 and 94480 is 16.

Also check out the Least Common Multiple of 94464 and 94480