What is the Greatest Common Factor of 43944 and 43952?

Greatest common factor (GCF) of 43944 and 43952 is 8.

GCF(43944,43952) = 8

We will now calculate the prime factors of 43944 and 43952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43944 and 43952.

How to find the GCF of 43944 and 43952?

We will first find the prime factorization of 43944 and 43952. After we will calculate the factors of 43944 and 43952 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 43952

Prime factors of 43952 are 2, 41, 67. Prime factorization of 43952 in exponential form is:

43952 = 2⁴ × 41¹ × 67¹

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 43952

List of positive integer factors of 43952 that divides 43944 without a remainder.

1, 2, 4, 8, 16, 41, 67, 82, 134, 164, 268, 328, 536, 656, 1072, 2747, 5494, 10988, 21976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43944 and 43952. The biggest common factor number is the GCF number.
So the greatest common factor 43944 and 43952 is 8.

Also check out the Least Common Multiple of 43944 and 43952