What is the Greatest Common Factor of 43968 and 43984?

Greatest common factor (GCF) of 43968 and 43984 is 16.

GCF(43968,43984) = 16

We will now calculate the prime factors of 43968 and 43984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43968 and 43984.

How to find the GCF of 43968 and 43984?

We will first find the prime factorization of 43968 and 43984. After we will calculate the factors of 43968 and 43984 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43984

Prime factors of 43984 are 2, 2749. Prime factorization of 43984 in exponential form is:

43984 = 2⁴ × 2749¹

Step-3: Factors of 43968

List of positive integer factors of 43968 that divides 43968 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

Step-4: Factors of 43984

List of positive integer factors of 43984 that divides 43968 without a remainder.

1, 2, 4, 8, 16, 2749, 5498, 10996, 21992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43968 and 43984. The biggest common factor number is the GCF number.
So the greatest common factor 43968 and 43984 is 16.

Also check out the Least Common Multiple of 43968 and 43984