What is the Greatest Common Factor of 43589 and 43602?

Greatest common factor (GCF) of 43589 and 43602 is 13.

GCF(43589,43602) = 13

We will now calculate the prime factors of 43589 and 43602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43589 and 43602.

How to find the GCF of 43589 and 43602?

We will first find the prime factorization of 43589 and 43602. After we will calculate the factors of 43589 and 43602 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 43602

Prime factors of 43602 are 2, 3, 13, 43. Prime factorization of 43602 in exponential form is:

43602 = 2¹ × 3¹ × 13² × 43¹

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 43602

List of positive integer factors of 43602 that divides 43589 without a remainder.

1, 2, 3, 6, 13, 26, 39, 43, 78, 86, 129, 169, 258, 338, 507, 559, 1014, 1118, 1677, 3354, 7267, 14534, 21801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43589 and 43602. The biggest common factor number is the GCF number.
So the greatest common factor 43589 and 43602 is 13.

Also check out the Least Common Multiple of 43589 and 43602