What is the Greatest Common Factor of 40944 and 40959?

Greatest common factor (GCF) of 40944 and 40959 is 3.

GCF(40944,40959) = 3

We will now calculate the prime factors of 40944 and 40959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40944 and 40959.

How to find the GCF of 40944 and 40959?

We will first find the prime factorization of 40944 and 40959. After we will calculate the factors of 40944 and 40959 and find the biggest common factor number .

Step-1: Prime Factorization of 40944

Prime factors of 40944 are 2, 3, 853. Prime factorization of 40944 in exponential form is:

40944 = 2⁴ × 3¹ × 853¹

Step-2: 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-3: Factors of 40944

List of positive integer factors of 40944 that divides 40944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 853, 1706, 2559, 3412, 5118, 6824, 10236, 13648, 20472

Step-4: Factors of 40959

List of positive integer factors of 40959 that divides 40944 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40944 and 40959. The biggest common factor number is the GCF number.
So the greatest common factor 40944 and 40959 is 3.

Also check out the Least Common Multiple of 40944 and 40959