What is the Greatest Common Factor of 5574 and 5589?

Greatest common factor (GCF) of 5574 and 5589 is 3.

GCF(5574,5589) = 3

We will now calculate the prime factors of 5574 and 5589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5574 and 5589.

How to find the GCF of 5574 and 5589?

We will first find the prime factorization of 5574 and 5589. After we will calculate the factors of 5574 and 5589 and find the biggest common factor number .

Step-1: Prime Factorization of 5574

Prime factors of 5574 are 2, 3, 929. Prime factorization of 5574 in exponential form is:

5574 = 2¹ × 3¹ × 929¹

Step-2: Prime Factorization of 5589

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

5589 = 3⁵ × 23¹

Step-3: Factors of 5574

List of positive integer factors of 5574 that divides 5574 without a remainder.

1, 2, 3, 6, 929, 1858, 2787

Step-4: Factors of 5589

List of positive integer factors of 5589 that divides 5574 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5574 and 5589. The biggest common factor number is the GCF number.
So the greatest common factor 5574 and 5589 is 3.

Also check out the Least Common Multiple of 5574 and 5589