What is the Greatest Common Factor of 5589 and 5607?

Greatest common factor (GCF) of 5589 and 5607 is 9.

GCF(5589,5607) = 9

We will now calculate the prime factors of 5589 and 5607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5589 and 5607.

How to find the GCF of 5589 and 5607?

We will first find the prime factorization of 5589 and 5607. After we will calculate the factors of 5589 and 5607 and find the biggest common factor number .

Step-1: Prime Factorization of 5589

Prime factors of 5589 are 3, 23. Prime factorization of 5589 in exponential form is:

5589 = 3⁵ × 23¹

Step-2: Prime Factorization of 5607

Prime factors of 5607 are 3, 7, 89. Prime factorization of 5607 in exponential form is:

5607 = 3² × 7¹ × 89¹

Step-3: Factors of 5589

List of positive integer factors of 5589 that divides 5589 without a remainder.

1, 3, 9, 23, 27, 69, 81, 207, 243, 621, 1863

Step-4: Factors of 5607

List of positive integer factors of 5607 that divides 5589 without a remainder.

1, 3, 7, 9, 21, 63, 89, 267, 623, 801, 1869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5589 and 5607. The biggest common factor number is the GCF number.
So the greatest common factor 5589 and 5607 is 9.

Also check out the Least Common Multiple of 5589 and 5607