What is the Greatest Common Factor of 5580 and 5590?

Greatest common factor (GCF) of 5580 and 5590 is 10.

GCF(5580,5590) = 10

We will now calculate the prime factors of 5580 and 5590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5580 and 5590.

How to find the GCF of 5580 and 5590?

We will first find the prime factorization of 5580 and 5590. After we will calculate the factors of 5580 and 5590 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 5590

Prime factors of 5590 are 2, 5, 13, 43. Prime factorization of 5590 in exponential form is:

5590 = 2¹ × 5¹ × 13¹ × 43¹

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 5590

List of positive integer factors of 5590 that divides 5580 without a remainder.

1, 2, 5, 10, 13, 26, 43, 65, 86, 130, 215, 430, 559, 1118, 2795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5580 and 5590. The biggest common factor number is the GCF number.
So the greatest common factor 5580 and 5590 is 10.

Also check out the Least Common Multiple of 5580 and 5590