What is the Greatest Common Factor of 41982 and 41998?

Greatest common factor (GCF) of 41982 and 41998 is 2.

GCF(41982,41998) = 2

We will now calculate the prime factors of 41982 and 41998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41982 and 41998.

How to find the GCF of 41982 and 41998?

We will first find the prime factorization of 41982 and 41998. After we will calculate the factors of 41982 and 41998 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 41998

Prime factors of 41998 are 2, 11, 23, 83. Prime factorization of 41998 in exponential form is:

41998 = 2¹ × 11¹ × 23¹ × 83¹

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 41998

List of positive integer factors of 41998 that divides 41982 without a remainder.

1, 2, 11, 22, 23, 46, 83, 166, 253, 506, 913, 1826, 1909, 3818, 20999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41982 and 41998. The biggest common factor number is the GCF number.
So the greatest common factor 41982 and 41998 is 2.

Also check out the Least Common Multiple of 41982 and 41998