What is the Greatest Common Factor of 5562 and 5580?

Greatest common factor (GCF) of 5562 and 5580 is 18.

GCF(5562,5580) = 18

We will now calculate the prime factors of 5562 and 5580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5562 and 5580.

How to find the GCF of 5562 and 5580?

We will first find the prime factorization of 5562 and 5580. After we will calculate the factors of 5562 and 5580 and find the biggest common factor number .

Step-1: Prime Factorization of 5562

Prime factors of 5562 are 2, 3, 103. Prime factorization of 5562 in exponential form is:

5562 = 2¹ × 3³ × 103¹

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 5562

List of positive integer factors of 5562 that divides 5562 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 103, 206, 309, 618, 927, 1854, 2781

Step-4: Factors of 5580

List of positive integer factors of 5580 that divides 5562 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 5562 and 5580. The biggest common factor number is the GCF number.
So the greatest common factor 5562 and 5580 is 18.

Also check out the Least Common Multiple of 5562 and 5580