What is the Greatest Common Factor of 5568 and 5580?

Greatest common factor (GCF) of 5568 and 5580 is 12.

GCF(5568,5580) = 12

We will now calculate the prime factors of 5568 and 5580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5568 and 5580.

How to find the GCF of 5568 and 5580?

We will first find the prime factorization of 5568 and 5580. After we will calculate the factors of 5568 and 5580 and find the biggest common factor number .

Step-1: Prime Factorization of 5568

Prime factors of 5568 are 2, 3, 29. Prime factorization of 5568 in exponential form is:

5568 = 2⁶ × 3¹ × 29¹

Step-2: 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-3: Factors of 5568

List of positive integer factors of 5568 that divides 5568 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 64, 87, 96, 116, 174, 192, 232, 348, 464, 696, 928, 1392, 1856, 2784

Step-4: Factors of 5580

List of positive integer factors of 5580 that divides 5568 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5568 and 5580. The biggest common factor number is the GCF number.
So the greatest common factor 5568 and 5580 is 12.

Also check out the Least Common Multiple of 5568 and 5580