What is the Greatest Common Factor of 43984 and 43996?

Greatest common factor (GCF) of 43984 and 43996 is 4.

GCF(43984,43996) = 4

We will now calculate the prime factors of 43984 and 43996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43984 and 43996.

How to find the GCF of 43984 and 43996?

We will first find the prime factorization of 43984 and 43996. After we will calculate the factors of 43984 and 43996 and find the biggest common factor number .

Step-1: Prime Factorization of 43984

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

43984 = 2⁴ × 2749¹

Step-2: Prime Factorization of 43996

Prime factors of 43996 are 2, 17, 647. Prime factorization of 43996 in exponential form is:

43996 = 2² × 17¹ × 647¹

Step-3: Factors of 43984

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

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

Step-4: Factors of 43996

List of positive integer factors of 43996 that divides 43984 without a remainder.

1, 2, 4, 17, 34, 68, 647, 1294, 2588, 10999, 21998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43984 and 43996. The biggest common factor number is the GCF number.
So the greatest common factor 43984 and 43996 is 4.

Also check out the Least Common Multiple of 43984 and 43996