What is the Greatest Common Factor of 41989 and 41996?

Greatest common factor (GCF) of 41989 and 41996 is 1.

GCF(41989,41996) = 1

We will now calculate the prime factors of 41989 and 41996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41989 and 41996.

How to find the GCF of 41989 and 41996?

We will first find the prime factorization of 41989 and 41996. After we will calculate the factors of 41989 and 41996 and find the biggest common factor number .

Step-1: Prime Factorization of 41989

Prime factors of 41989 are 199, 211. Prime factorization of 41989 in exponential form is:

41989 = 199¹ × 211¹

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 41989

List of positive integer factors of 41989 that divides 41989 without a remainder.

1, 199, 211

Step-4: Factors of 41996

List of positive integer factors of 41996 that divides 41989 without a remainder.

1, 2, 4, 10499, 20998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41989 and 41996. The biggest common factor number is the GCF number.
So the greatest common factor 41989 and 41996 is 1.

Also check out the Least Common Multiple of 41989 and 41996