What is the Greatest Common Factor of 94864 and 94880?

Greatest common factor (GCF) of 94864 and 94880 is 16.

GCF(94864,94880) = 16

We will now calculate the prime factors of 94864 and 94880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94864 and 94880.

How to find the GCF of 94864 and 94880?

We will first find the prime factorization of 94864 and 94880. After we will calculate the factors of 94864 and 94880 and find the biggest common factor number .

Step-1: Prime Factorization of 94864

Prime factors of 94864 are 2, 7, 11. Prime factorization of 94864 in exponential form is:

94864 = 2⁴ × 7² × 11²

Step-2: Prime Factorization of 94880

Prime factors of 94880 are 2, 5, 593. Prime factorization of 94880 in exponential form is:

94880 = 2⁵ × 5¹ × 593¹

Step-3: Factors of 94864

List of positive integer factors of 94864 that divides 94864 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 49, 56, 77, 88, 98, 112, 121, 154, 176, 196, 242, 308, 392, 484, 539, 616, 784, 847, 968, 1078, 1232, 1694, 1936, 2156, 3388, 4312, 5929, 6776, 8624, 11858, 13552, 23716, 47432

Step-4: Factors of 94880

List of positive integer factors of 94880 that divides 94864 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 593, 1186, 2372, 2965, 4744, 5930, 9488, 11860, 18976, 23720, 47440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94864 and 94880. The biggest common factor number is the GCF number.
So the greatest common factor 94864 and 94880 is 16.

Also check out the Least Common Multiple of 94864 and 94880