What is the Greatest Common Factor of 94850 and 94864?

Greatest common factor (GCF) of 94850 and 94864 is 14.

GCF(94850,94864) = 14

We will now calculate the prime factors of 94850 and 94864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94850 and 94864.

How to find the GCF of 94850 and 94864?

We will first find the prime factorization of 94850 and 94864. After we will calculate the factors of 94850 and 94864 and find the biggest common factor number .

Step-1: Prime Factorization of 94850

Prime factors of 94850 are 2, 5, 7, 271. Prime factorization of 94850 in exponential form is:

94850 = 2¹ × 5² × 7¹ × 271¹

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 94850

List of positive integer factors of 94850 that divides 94850 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 271, 350, 542, 1355, 1897, 2710, 3794, 6775, 9485, 13550, 18970, 47425

Step-4: Factors of 94864

List of positive integer factors of 94864 that divides 94850 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 94850 and 94864. The biggest common factor number is the GCF number.
So the greatest common factor 94850 and 94864 is 14.

Also check out the Least Common Multiple of 94850 and 94864