What is the Greatest Common Factor of 39926 and 39932?

Greatest common factor (GCF) of 39926 and 39932 is 2.

GCF(39926,39932) = 2

We will now calculate the prime factors of 39926 and 39932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39926 and 39932.

How to find the GCF of 39926 and 39932?

We will first find the prime factorization of 39926 and 39932. After we will calculate the factors of 39926 and 39932 and find the biggest common factor number .

Step-1: Prime Factorization of 39926

Prime factors of 39926 are 2, 19963. Prime factorization of 39926 in exponential form is:

39926 = 2¹ × 19963¹

Step-2: Prime Factorization of 39932

Prime factors of 39932 are 2, 67, 149. Prime factorization of 39932 in exponential form is:

39932 = 2² × 67¹ × 149¹

Step-3: Factors of 39926

List of positive integer factors of 39926 that divides 39926 without a remainder.

1, 2, 19963

Step-4: Factors of 39932

List of positive integer factors of 39932 that divides 39926 without a remainder.

1, 2, 4, 67, 134, 149, 268, 298, 596, 9983, 19966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39926 and 39932. The biggest common factor number is the GCF number.
So the greatest common factor 39926 and 39932 is 2.

Also check out the Least Common Multiple of 39926 and 39932