What is the Greatest Common Factor of 41982 and 41988?

Greatest common factor (GCF) of 41982 and 41988 is 6.

GCF(41982,41988) = 6

We will now calculate the prime factors of 41982 and 41988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41982 and 41988.

How to find the GCF of 41982 and 41988?

We will first find the prime factorization of 41982 and 41988. After we will calculate the factors of 41982 and 41988 and find the biggest common factor number .

Step-1: Prime Factorization of 41982

Prime factors of 41982 are 2, 3, 6997. Prime factorization of 41982 in exponential form is:

41982 = 2¹ × 3¹ × 6997¹

Step-2: Prime Factorization of 41988

Prime factors of 41988 are 2, 3, 3499. Prime factorization of 41988 in exponential form is:

41988 = 2² × 3¹ × 3499¹

Step-3: Factors of 41982

List of positive integer factors of 41982 that divides 41982 without a remainder.

1, 2, 3, 6, 6997, 13994, 20991

Step-4: Factors of 41988

List of positive integer factors of 41988 that divides 41982 without a remainder.

1, 2, 3, 4, 6, 12, 3499, 6998, 10497, 13996, 20994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41982 and 41988. The biggest common factor number is the GCF number.
So the greatest common factor 41982 and 41988 is 6.

Also check out the Least Common Multiple of 41982 and 41988