What is the Greatest Common Factor of 94857 and 94864?

Greatest common factor (GCF) of 94857 and 94864 is 7.

GCF(94857,94864) = 7

We will now calculate the prime factors of 94857 and 94864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94857 and 94864.

How to find the GCF of 94857 and 94864?

We will first find the prime factorization of 94857 and 94864. After we will calculate the factors of 94857 and 94864 and find the biggest common factor number .

Step-1: Prime Factorization of 94857

Prime factors of 94857 are 3, 7, 4517. Prime factorization of 94857 in exponential form is:

94857 = 3¹ × 7¹ × 4517¹

Step-2: 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-3: Factors of 94857

List of positive integer factors of 94857 that divides 94857 without a remainder.

1, 3, 7, 21, 4517, 13551, 31619

Step-4: Factors of 94864

List of positive integer factors of 94864 that divides 94857 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94857 and 94864. The biggest common factor number is the GCF number.
So the greatest common factor 94857 and 94864 is 7.

Also check out the Least Common Multiple of 94857 and 94864