What is the Greatest Common Factor of 40959 and 40974?

Greatest common factor (GCF) of 40959 and 40974 is 3.

GCF(40959,40974) = 3

We will now calculate the prime factors of 40959 and 40974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40959 and 40974.

How to find the GCF of 40959 and 40974?

We will first find the prime factorization of 40959 and 40974. After we will calculate the factors of 40959 and 40974 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 40974

Prime factors of 40974 are 2, 3, 6829. Prime factorization of 40974 in exponential form is:

40974 = 2¹ × 3¹ × 6829¹

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 40974

List of positive integer factors of 40974 that divides 40959 without a remainder.

1, 2, 3, 6, 6829, 13658, 20487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40959 and 40974. The biggest common factor number is the GCF number.
So the greatest common factor 40959 and 40974 is 3.

Also check out the Least Common Multiple of 40959 and 40974