What is the Greatest Common Factor of 18914 and 18932?

Greatest common factor (GCF) of 18914 and 18932 is 2.

GCF(18914,18932) = 2

We will now calculate the prime factors of 18914 and 18932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18914 and 18932.

How to find the GCF of 18914 and 18932?

We will first find the prime factorization of 18914 and 18932. After we will calculate the factors of 18914 and 18932 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 18932

Prime factors of 18932 are 2, 4733. Prime factorization of 18932 in exponential form is:

18932 = 2² × 4733¹

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 18932

List of positive integer factors of 18932 that divides 18914 without a remainder.

1, 2, 4, 4733, 9466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18914 and 18932. The biggest common factor number is the GCF number.
So the greatest common factor 18914 and 18932 is 2.

Also check out the Least Common Multiple of 18914 and 18932