What is the Greatest Common Factor of 18938 and 18952?

Greatest common factor (GCF) of 18938 and 18952 is 2.

GCF(18938,18952) = 2

We will now calculate the prime factors of 18938 and 18952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18938 and 18952.

How to find the GCF of 18938 and 18952?

We will first find the prime factorization of 18938 and 18952. After we will calculate the factors of 18938 and 18952 and find the biggest common factor number .

Step-1: Prime Factorization of 18938

Prime factors of 18938 are 2, 17, 557. Prime factorization of 18938 in exponential form is:

18938 = 2¹ × 17¹ × 557¹

Step-2: Prime Factorization of 18952

Prime factors of 18952 are 2, 23, 103. Prime factorization of 18952 in exponential form is:

18952 = 2³ × 23¹ × 103¹

Step-3: Factors of 18938

List of positive integer factors of 18938 that divides 18938 without a remainder.

1, 2, 17, 34, 557, 1114, 9469

Step-4: Factors of 18952

List of positive integer factors of 18952 that divides 18938 without a remainder.

1, 2, 4, 8, 23, 46, 92, 103, 184, 206, 412, 824, 2369, 4738, 9476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18938 and 18952. The biggest common factor number is the GCF number.
So the greatest common factor 18938 and 18952 is 2.

Also check out the Least Common Multiple of 18938 and 18952