What is the Greatest Common Factor of 94913 and 94926?

Greatest common factor (GCF) of 94913 and 94926 is 13.

GCF(94913,94926) = 13

We will now calculate the prime factors of 94913 and 94926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94913 and 94926.

How to find the GCF of 94913 and 94926?

We will first find the prime factorization of 94913 and 94926. After we will calculate the factors of 94913 and 94926 and find the biggest common factor number .

Step-1: Prime Factorization of 94913

Prime factors of 94913 are 7, 13, 149. Prime factorization of 94913 in exponential form is:

94913 = 7² × 13¹ × 149¹

Step-2: 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-3: Factors of 94913

List of positive integer factors of 94913 that divides 94913 without a remainder.

1, 7, 13, 49, 91, 149, 637, 1043, 1937, 7301, 13559

Step-4: Factors of 94926

List of positive integer factors of 94926 that divides 94913 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94913 and 94926. The biggest common factor number is the GCF number.
So the greatest common factor 94913 and 94926 is 13.

Also check out the Least Common Multiple of 94913 and 94926