What is the Greatest Common Factor of 41982 and 42001?

Greatest common factor (GCF) of 41982 and 42001 is 1.

GCF(41982,42001) = 1

We will now calculate the prime factors of 41982 and 42001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41982 and 42001.

How to find the GCF of 41982 and 42001?

We will first find the prime factorization of 41982 and 42001. After we will calculate the factors of 41982 and 42001 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 42001

Prime factors of 42001 are 97, 433. Prime factorization of 42001 in exponential form is:

42001 = 97¹ × 433¹

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 42001

List of positive integer factors of 42001 that divides 41982 without a remainder.

1, 97, 433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41982 and 42001. The biggest common factor number is the GCF number.
So the greatest common factor 41982 and 42001 is 1.

Also check out the Least Common Multiple of 41982 and 42001