What is the Greatest Common Factor of 18914 and 18926?

Greatest common factor (GCF) of 18914 and 18926 is 2.

GCF(18914,18926) = 2

We will now calculate the prime factors of 18914 and 18926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18914 and 18926.

How to find the GCF of 18914 and 18926?

We will first find the prime factorization of 18914 and 18926. After we will calculate the factors of 18914 and 18926 and find the biggest common factor number .

Step-1: Prime Factorization of 18914

Prime factors of 18914 are 2, 7, 193. Prime factorization of 18914 in exponential form is:

18914 = 2¹ × 7² × 193¹

Step-2: Prime Factorization of 18926

Prime factors of 18926 are 2, 9463. Prime factorization of 18926 in exponential form is:

18926 = 2¹ × 9463¹

Step-3: Factors of 18914

List of positive integer factors of 18914 that divides 18914 without a remainder.

1, 2, 7, 14, 49, 98, 193, 386, 1351, 2702, 9457

Step-4: Factors of 18926

List of positive integer factors of 18926 that divides 18914 without a remainder.

1, 2, 9463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18914 and 18926. The biggest common factor number is the GCF number.
So the greatest common factor 18914 and 18926 is 2.

Also check out the Least Common Multiple of 18914 and 18926