What is the Greatest Common Factor of 41986 and 41993?

Greatest common factor (GCF) of 41986 and 41993 is 7.

GCF(41986,41993) = 7

We will now calculate the prime factors of 41986 and 41993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41986 and 41993.

How to find the GCF of 41986 and 41993?

We will first find the prime factorization of 41986 and 41993. After we will calculate the factors of 41986 and 41993 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 41993

Prime factors of 41993 are 7, 857. Prime factorization of 41993 in exponential form is:

41993 = 7² × 857¹

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 41993

List of positive integer factors of 41993 that divides 41986 without a remainder.

1, 7, 49, 857, 5999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41986 and 41993. The biggest common factor number is the GCF number.
So the greatest common factor 41986 and 41993 is 7.

Also check out the Least Common Multiple of 41986 and 41993