What is the Greatest Common Factor of 43932 and 43944?

Greatest common factor (GCF) of 43932 and 43944 is 12.

GCF(43932,43944) = 12

We will now calculate the prime factors of 43932 and 43944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43932 and 43944.

How to find the GCF of 43932 and 43944?

We will first find the prime factorization of 43932 and 43944. After we will calculate the factors of 43932 and 43944 and find the biggest common factor number .

Step-1: Prime Factorization of 43932

Prime factors of 43932 are 2, 3, 7, 523. Prime factorization of 43932 in exponential form is:

43932 = 2² × 3¹ × 7¹ × 523¹

Step-2: 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-3: Factors of 43932

List of positive integer factors of 43932 that divides 43932 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 523, 1046, 1569, 2092, 3138, 3661, 6276, 7322, 10983, 14644, 21966

Step-4: Factors of 43944

List of positive integer factors of 43944 that divides 43932 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43932 and 43944. The biggest common factor number is the GCF number.
So the greatest common factor 43932 and 43944 is 12.

Also check out the Least Common Multiple of 43932 and 43944