What is the Greatest Common Factor of 5574 and 5580?

Greatest common factor (GCF) of 5574 and 5580 is 6.

GCF(5574,5580) = 6

We will now calculate the prime factors of 5574 and 5580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5574 and 5580.

How to find the GCF of 5574 and 5580?

We will first find the prime factorization of 5574 and 5580. After we will calculate the factors of 5574 and 5580 and find the biggest common factor number .

Step-1: Prime Factorization of 5574

Prime factors of 5574 are 2, 3, 929. Prime factorization of 5574 in exponential form is:

5574 = 2¹ × 3¹ × 929¹

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 5574

List of positive integer factors of 5574 that divides 5574 without a remainder.

1, 2, 3, 6, 929, 1858, 2787

Step-4: Factors of 5580

List of positive integer factors of 5580 that divides 5574 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 5574 and 5580. The biggest common factor number is the GCF number.
So the greatest common factor 5574 and 5580 is 6.

Also check out the Least Common Multiple of 5574 and 5580