What is the Greatest Common Factor of 5580 and 5584?

Greatest common factor (GCF) of 5580 and 5584 is 4.

GCF(5580,5584) = 4

We will now calculate the prime factors of 5580 and 5584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5580 and 5584.

How to find the GCF of 5580 and 5584?

We will first find the prime factorization of 5580 and 5584. After we will calculate the factors of 5580 and 5584 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 5584

Prime factors of 5584 are 2, 349. Prime factorization of 5584 in exponential form is:

5584 = 2⁴ × 349¹

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 5584

List of positive integer factors of 5584 that divides 5580 without a remainder.

1, 2, 4, 8, 16, 349, 698, 1396, 2792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5580 and 5584. The biggest common factor number is the GCF number.
So the greatest common factor 5580 and 5584 is 4.

Also check out the Least Common Multiple of 5580 and 5584