What is the Greatest Common Factor of 43589 and 43607?

Greatest common factor (GCF) of 43589 and 43607 is 1.

GCF(43589,43607) = 1

We will now calculate the prime factors of 43589 and 43607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43589 and 43607.

How to find the GCF of 43589 and 43607?

We will first find the prime factorization of 43589 and 43607. After we will calculate the factors of 43589 and 43607 and find the biggest common factor number .

Step-1: Prime Factorization of 43589

Prime factors of 43589 are 7, 13, 479. Prime factorization of 43589 in exponential form is:

43589 = 7¹ × 13¹ × 479¹

Step-2: Prime Factorization of 43607

Prime factors of 43607 are 43607. Prime factorization of 43607 in exponential form is:

43607 = 43607¹

Step-3: Factors of 43589

List of positive integer factors of 43589 that divides 43589 without a remainder.

1, 7, 13, 91, 479, 3353, 6227

Step-4: Factors of 43607

List of positive integer factors of 43607 that divides 43589 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43589 and 43607. The biggest common factor number is the GCF number.
So the greatest common factor 43589 and 43607 is 1.

Also check out the Least Common Multiple of 43589 and 43607