What is the Greatest Common Factor of 40959 and 40971?

Greatest common factor (GCF) of 40959 and 40971 is 3.

GCF(40959,40971) = 3

We will now calculate the prime factors of 40959 and 40971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40959 and 40971.

How to find the GCF of 40959 and 40971?

We will first find the prime factorization of 40959 and 40971. After we will calculate the factors of 40959 and 40971 and find the biggest common factor number .

Step-1: Prime Factorization of 40959

Prime factors of 40959 are 3, 37, 41. Prime factorization of 40959 in exponential form is:

40959 = 3³ × 37¹ × 41¹

Step-2: 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-3: Factors of 40959

List of positive integer factors of 40959 that divides 40959 without a remainder.

1, 3, 9, 27, 37, 41, 111, 123, 333, 369, 999, 1107, 1517, 4551, 13653

Step-4: Factors of 40971

List of positive integer factors of 40971 that divides 40959 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40959 and 40971. The biggest common factor number is the GCF number.
So the greatest common factor 40959 and 40971 is 3.

Also check out the Least Common Multiple of 40959 and 40971