What is the Greatest Common Factor of 5609 and 5623?

Greatest common factor (GCF) of 5609 and 5623 is 1.

GCF(5609,5623) = 1

We will now calculate the prime factors of 5609 and 5623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5609 and 5623.

How to find the GCF of 5609 and 5623?

We will first find the prime factorization of 5609 and 5623. After we will calculate the factors of 5609 and 5623 and find the biggest common factor number .

Step-1: Prime Factorization of 5609

Prime factors of 5609 are 71, 79. Prime factorization of 5609 in exponential form is:

5609 = 71¹ × 79¹

Step-2: Prime Factorization of 5623

Prime factors of 5623 are 5623. Prime factorization of 5623 in exponential form is:

5623 = 5623¹

Step-3: Factors of 5609

List of positive integer factors of 5609 that divides 5609 without a remainder.

1, 71, 79

Step-4: Factors of 5623

List of positive integer factors of 5623 that divides 5609 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5609 and 5623. The biggest common factor number is the GCF number.
So the greatest common factor 5609 and 5623 is 1.

Also check out the Least Common Multiple of 5609 and 5623