What is the Greatest Common Factor of 43964 and 43972?

Greatest common factor (GCF) of 43964 and 43972 is 4.

GCF(43964,43972) = 4

We will now calculate the prime factors of 43964 and 43972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43964 and 43972.

How to find the GCF of 43964 and 43972?

We will first find the prime factorization of 43964 and 43972. After we will calculate the factors of 43964 and 43972 and find the biggest common factor number .

Step-1: Prime Factorization of 43964

Prime factors of 43964 are 2, 29, 379. Prime factorization of 43964 in exponential form is:

43964 = 2² × 29¹ × 379¹

Step-2: Prime Factorization of 43972

Prime factors of 43972 are 2, 10993. Prime factorization of 43972 in exponential form is:

43972 = 2² × 10993¹

Step-3: Factors of 43964

List of positive integer factors of 43964 that divides 43964 without a remainder.

1, 2, 4, 29, 58, 116, 379, 758, 1516, 10991, 21982

Step-4: Factors of 43972

List of positive integer factors of 43972 that divides 43964 without a remainder.

1, 2, 4, 10993, 21986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43964 and 43972. The biggest common factor number is the GCF number.
So the greatest common factor 43964 and 43972 is 4.

Also check out the Least Common Multiple of 43964 and 43972