What is the Greatest Common Factor of 94864 and 94874?

Greatest common factor (GCF) of 94864 and 94874 is 2.

GCF(94864,94874) = 2

We will now calculate the prime factors of 94864 and 94874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94864 and 94874.

How to find the GCF of 94864 and 94874?

We will first find the prime factorization of 94864 and 94874. After we will calculate the factors of 94864 and 94874 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 94874

Prime factors of 94874 are 2, 13, 41, 89. Prime factorization of 94874 in exponential form is:

94874 = 2¹ × 13¹ × 41¹ × 89¹

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 94874

List of positive integer factors of 94874 that divides 94864 without a remainder.

1, 2, 13, 26, 41, 82, 89, 178, 533, 1066, 1157, 2314, 3649, 7298, 47437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94864 and 94874. The biggest common factor number is the GCF number.
So the greatest common factor 94864 and 94874 is 2.

Also check out the Least Common Multiple of 94864 and 94874