What is the Greatest Common Factor of 43944 and 43959?

Greatest common factor (GCF) of 43944 and 43959 is 3.

GCF(43944,43959) = 3

We will now calculate the prime factors of 43944 and 43959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43944 and 43959.

How to find the GCF of 43944 and 43959?

We will first find the prime factorization of 43944 and 43959. After we will calculate the factors of 43944 and 43959 and find the biggest common factor number .

Step-1: Prime Factorization of 43944

Prime factors of 43944 are 2, 3, 1831. Prime factorization of 43944 in exponential form is:

43944 = 2³ × 3¹ × 1831¹

Step-2: Prime Factorization of 43959

Prime factors of 43959 are 3, 14653. Prime factorization of 43959 in exponential form is:

43959 = 3¹ × 14653¹

Step-3: Factors of 43944

List of positive integer factors of 43944 that divides 43944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1831, 3662, 5493, 7324, 10986, 14648, 21972

Step-4: Factors of 43959

List of positive integer factors of 43959 that divides 43944 without a remainder.

1, 3, 14653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43944 and 43959. The biggest common factor number is the GCF number.
So the greatest common factor 43944 and 43959 is 3.

Also check out the Least Common Multiple of 43944 and 43959