What is the Greatest Common Factor of 40971 and 40982?

Greatest common factor (GCF) of 40971 and 40982 is 1.

GCF(40971,40982) = 1

We will now calculate the prime factors of 40971 and 40982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40971 and 40982.

How to find the GCF of 40971 and 40982?

We will first find the prime factorization of 40971 and 40982. After we will calculate the factors of 40971 and 40982 and find the biggest common factor number .

Step-1: Prime Factorization of 40971

Prime factors of 40971 are 3, 7, 1951. Prime factorization of 40971 in exponential form is:

40971 = 3¹ × 7¹ × 1951¹

Step-2: Prime Factorization of 40982

Prime factors of 40982 are 2, 31, 661. Prime factorization of 40982 in exponential form is:

40982 = 2¹ × 31¹ × 661¹

Step-3: Factors of 40971

List of positive integer factors of 40971 that divides 40971 without a remainder.

1, 3, 7, 21, 1951, 5853, 13657

Step-4: Factors of 40982

List of positive integer factors of 40982 that divides 40971 without a remainder.

1, 2, 31, 62, 661, 1322, 20491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40971 and 40982. The biggest common factor number is the GCF number.
So the greatest common factor 40971 and 40982 is 1.

Also check out the Least Common Multiple of 40971 and 40982