What is the Greatest Common Factor of 41986 and 41996?

Greatest common factor (GCF) of 41986 and 41996 is 2.

GCF(41986,41996) = 2

We will now calculate the prime factors of 41986 and 41996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41986 and 41996.

How to find the GCF of 41986 and 41996?

We will first find the prime factorization of 41986 and 41996. After we will calculate the factors of 41986 and 41996 and find the biggest common factor number .

Step-1: Prime Factorization of 41986

Prime factors of 41986 are 2, 7, 2999. Prime factorization of 41986 in exponential form is:

41986 = 2¹ × 7¹ × 2999¹

Step-2: Prime Factorization of 41996

Prime factors of 41996 are 2, 10499. Prime factorization of 41996 in exponential form is:

41996 = 2² × 10499¹

Step-3: Factors of 41986

List of positive integer factors of 41986 that divides 41986 without a remainder.

1, 2, 7, 14, 2999, 5998, 20993

Step-4: Factors of 41996

List of positive integer factors of 41996 that divides 41986 without a remainder.

1, 2, 4, 10499, 20998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41986 and 41996. The biggest common factor number is the GCF number.
So the greatest common factor 41986 and 41996 is 2.

Also check out the Least Common Multiple of 41986 and 41996