What is the Greatest Common Factor of 43944 and 43956?

Greatest common factor (GCF) of 43944 and 43956 is 12.

GCF(43944,43956) = 12

We will now calculate the prime factors of 43944 and 43956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43944 and 43956.

How to find the GCF of 43944 and 43956?

We will first find the prime factorization of 43944 and 43956. After we will calculate the factors of 43944 and 43956 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 43956

Prime factors of 43956 are 2, 3, 11, 37. Prime factorization of 43956 in exponential form is:

43956 = 2² × 3³ × 11¹ × 37¹

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 43956

List of positive integer factors of 43956 that divides 43944 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 37, 44, 54, 66, 74, 99, 108, 111, 132, 148, 198, 222, 297, 333, 396, 407, 444, 594, 666, 814, 999, 1188, 1221, 1332, 1628, 1998, 2442, 3663, 3996, 4884, 7326, 10989, 14652, 21978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43944 and 43956. The biggest common factor number is the GCF number.
So the greatest common factor 43944 and 43956 is 12.

Also check out the Least Common Multiple of 43944 and 43956