What is the Greatest Common Factor of 43984 and 43993?

Greatest common factor (GCF) of 43984 and 43993 is 1.

GCF(43984,43993) = 1

We will now calculate the prime factors of 43984 and 43993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43984 and 43993.

How to find the GCF of 43984 and 43993?

We will first find the prime factorization of 43984 and 43993. After we will calculate the factors of 43984 and 43993 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 43993

Prime factors of 43993 are 29, 37, 41. Prime factorization of 43993 in exponential form is:

43993 = 29¹ × 37¹ × 41¹

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 43993

List of positive integer factors of 43993 that divides 43984 without a remainder.

1, 29, 37, 41, 1073, 1189, 1517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43984 and 43993. The biggest common factor number is the GCF number.
So the greatest common factor 43984 and 43993 is 1.

Also check out the Least Common Multiple of 43984 and 43993