What is the Greatest Common Factor of 43999 and 44007?

Greatest common factor (GCF) of 43999 and 44007 is 1.

GCF(43999,44007) = 1

We will now calculate the prime factors of 43999 and 44007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43999 and 44007.

How to find the GCF of 43999 and 44007?

We will first find the prime factorization of 43999 and 44007. After we will calculate the factors of 43999 and 44007 and find the biggest common factor number .

Step-1: Prime Factorization of 43999

Prime factors of 43999 are 23, 1913. Prime factorization of 43999 in exponential form is:

43999 = 23¹ × 1913¹

Step-2: Prime Factorization of 44007

Prime factors of 44007 are 3, 14669. Prime factorization of 44007 in exponential form is:

44007 = 3¹ × 14669¹

Step-3: Factors of 43999

List of positive integer factors of 43999 that divides 43999 without a remainder.

1, 23, 1913

Step-4: Factors of 44007

List of positive integer factors of 44007 that divides 43999 without a remainder.

1, 3, 14669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43999 and 44007. The biggest common factor number is the GCF number.
So the greatest common factor 43999 and 44007 is 1.

Also check out the Least Common Multiple of 43999 and 44007