What is the Greatest Common Factor of 33918 and 33938?

Greatest common factor (GCF) of 33918 and 33938 is 2.

GCF(33918,33938) = 2

We will now calculate the prime factors of 33918 and 33938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33918 and 33938.

How to find the GCF of 33918 and 33938?

We will first find the prime factorization of 33918 and 33938. After we will calculate the factors of 33918 and 33938 and find the biggest common factor number .

Step-1: Prime Factorization of 33918

Prime factors of 33918 are 2, 3, 5653. Prime factorization of 33918 in exponential form is:

33918 = 2¹ × 3¹ × 5653¹

Step-2: Prime Factorization of 33938

Prime factors of 33938 are 2, 71, 239. Prime factorization of 33938 in exponential form is:

33938 = 2¹ × 71¹ × 239¹

Step-3: Factors of 33918

List of positive integer factors of 33918 that divides 33918 without a remainder.

1, 2, 3, 6, 5653, 11306, 16959

Step-4: Factors of 33938

List of positive integer factors of 33938 that divides 33918 without a remainder.

1, 2, 71, 142, 239, 478, 16969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33918 and 33938. The biggest common factor number is the GCF number.
So the greatest common factor 33918 and 33938 is 2.

Also check out the Least Common Multiple of 33918 and 33938