What is the Greatest Common Factor of 43944 and 43962?

Greatest common factor (GCF) of 43944 and 43962 is 6.

GCF(43944,43962) = 6

We will now calculate the prime factors of 43944 and 43962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43944 and 43962.

How to find the GCF of 43944 and 43962?

We will first find the prime factorization of 43944 and 43962. After we will calculate the factors of 43944 and 43962 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 43962

Prime factors of 43962 are 2, 3, 17, 431. Prime factorization of 43962 in exponential form is:

43962 = 2¹ × 3¹ × 17¹ × 431¹

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 43962

List of positive integer factors of 43962 that divides 43944 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 431, 862, 1293, 2586, 7327, 14654, 21981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43944 and 43962. The biggest common factor number is the GCF number.
So the greatest common factor 43944 and 43962 is 6.

Also check out the Least Common Multiple of 43944 and 43962