What is the Greatest Common Factor of 94926 and 94939?

Greatest common factor (GCF) of 94926 and 94939 is 13.

GCF(94926,94939) = 13

We will now calculate the prime factors of 94926 and 94939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94926 and 94939.

How to find the GCF of 94926 and 94939?

We will first find the prime factorization of 94926 and 94939. After we will calculate the factors of 94926 and 94939 and find the biggest common factor number .

Step-1: Prime Factorization of 94926

Prime factors of 94926 are 2, 3, 13, 1217. Prime factorization of 94926 in exponential form is:

94926 = 2¹ × 3¹ × 13¹ × 1217¹

Step-2: Prime Factorization of 94939

Prime factors of 94939 are 13, 67, 109. Prime factorization of 94939 in exponential form is:

94939 = 13¹ × 67¹ × 109¹

Step-3: Factors of 94926

List of positive integer factors of 94926 that divides 94926 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1217, 2434, 3651, 7302, 15821, 31642, 47463

Step-4: Factors of 94939

List of positive integer factors of 94939 that divides 94926 without a remainder.

1, 13, 67, 109, 871, 1417, 7303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94926 and 94939. The biggest common factor number is the GCF number.
So the greatest common factor 94926 and 94939 is 13.

Also check out the Least Common Multiple of 94926 and 94939