What is the Greatest Common Factor of 43952 and 43968?

Greatest common factor (GCF) of 43952 and 43968 is 16.

GCF(43952,43968) = 16

We will now calculate the prime factors of 43952 and 43968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43952 and 43968.

How to find the GCF of 43952 and 43968?

We will first find the prime factorization of 43952 and 43968. After we will calculate the factors of 43952 and 43968 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43968

Prime factors of 43968 are 2, 3, 229. Prime factorization of 43968 in exponential form is:

43968 = 2⁶ × 3¹ × 229¹

Step-3: Factors of 43952

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

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

Step-4: Factors of 43968

List of positive integer factors of 43968 that divides 43952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 229, 458, 687, 916, 1374, 1832, 2748, 3664, 5496, 7328, 10992, 14656, 21984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43952 and 43968. The biggest common factor number is the GCF number.
So the greatest common factor 43952 and 43968 is 16.

Also check out the Least Common Multiple of 43952 and 43968