What is the Greatest Common Factor of 5580 and 5598?

Greatest common factor (GCF) of 5580 and 5598 is 18.

GCF(5580,5598) = 18

We will now calculate the prime factors of 5580 and 5598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5580 and 5598.

How to find the GCF of 5580 and 5598?

We will first find the prime factorization of 5580 and 5598. After we will calculate the factors of 5580 and 5598 and find the biggest common factor number .

Step-1: Prime Factorization of 5580

Prime factors of 5580 are 2, 3, 5, 31. Prime factorization of 5580 in exponential form is:

5580 = 2² × 3² × 5¹ × 31¹

Step-2: Prime Factorization of 5598

Prime factors of 5598 are 2, 3, 311. Prime factorization of 5598 in exponential form is:

5598 = 2¹ × 3² × 311¹

Step-3: Factors of 5580

List of positive integer factors of 5580 that divides 5580 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 31, 36, 45, 60, 62, 90, 93, 124, 155, 180, 186, 279, 310, 372, 465, 558, 620, 930, 1116, 1395, 1860, 2790

Step-4: Factors of 5598

List of positive integer factors of 5598 that divides 5580 without a remainder.

1, 2, 3, 6, 9, 18, 311, 622, 933, 1866, 2799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5580 and 5598. The biggest common factor number is the GCF number.
So the greatest common factor 5580 and 5598 is 18.

Also check out the Least Common Multiple of 5580 and 5598