What is the Greatest Common Factor of 94864 and 94875?

Greatest common factor (GCF) of 94864 and 94875 is 11.

GCF(94864,94875) = 11

We will now calculate the prime factors of 94864 and 94875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94864 and 94875.

How to find the GCF of 94864 and 94875?

We will first find the prime factorization of 94864 and 94875. After we will calculate the factors of 94864 and 94875 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 94875

Prime factors of 94875 are 3, 5, 11, 23. Prime factorization of 94875 in exponential form is:

94875 = 3¹ × 5³ × 11¹ × 23¹

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 94875

List of positive integer factors of 94875 that divides 94864 without a remainder.

1, 3, 5, 11, 15, 23, 25, 33, 55, 69, 75, 115, 125, 165, 253, 275, 345, 375, 575, 759, 825, 1265, 1375, 1725, 2875, 3795, 4125, 6325, 8625, 18975, 31625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94864 and 94875. The biggest common factor number is the GCF number.
So the greatest common factor 94864 and 94875 is 11.

Also check out the Least Common Multiple of 94864 and 94875