What is the Greatest Common Factor of 39918 and 39922?

Greatest common factor (GCF) of 39918 and 39922 is 2.

GCF(39918,39922) = 2

We will now calculate the prime factors of 39918 and 39922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39918 and 39922.

How to find the GCF of 39918 and 39922?

We will first find the prime factorization of 39918 and 39922. After we will calculate the factors of 39918 and 39922 and find the biggest common factor number .

Step-1: Prime Factorization of 39918

Prime factors of 39918 are 2, 3, 6653. Prime factorization of 39918 in exponential form is:

39918 = 2¹ × 3¹ × 6653¹

Step-2: Prime Factorization of 39922

Prime factors of 39922 are 2, 19961. Prime factorization of 39922 in exponential form is:

39922 = 2¹ × 19961¹

Step-3: Factors of 39918

List of positive integer factors of 39918 that divides 39918 without a remainder.

1, 2, 3, 6, 6653, 13306, 19959

Step-4: Factors of 39922

List of positive integer factors of 39922 that divides 39918 without a remainder.

1, 2, 19961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39918 and 39922. The biggest common factor number is the GCF number.
So the greatest common factor 39918 and 39922 is 2.

Also check out the Least Common Multiple of 39918 and 39922