What is the Greatest Common Factor of 5610 and 5627?

Greatest common factor (GCF) of 5610 and 5627 is 17.

GCF(5610,5627) = 17

We will now calculate the prime factors of 5610 and 5627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5610 and 5627.

How to find the GCF of 5610 and 5627?

We will first find the prime factorization of 5610 and 5627. After we will calculate the factors of 5610 and 5627 and find the biggest common factor number .

Step-1: Prime Factorization of 5610

Prime factors of 5610 are 2, 3, 5, 11, 17. Prime factorization of 5610 in exponential form is:

5610 = 2¹ × 3¹ × 5¹ × 11¹ × 17¹

Step-2: Prime Factorization of 5627

Prime factors of 5627 are 17, 331. Prime factorization of 5627 in exponential form is:

5627 = 17¹ × 331¹

Step-3: Factors of 5610

List of positive integer factors of 5610 that divides 5610 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 17, 22, 30, 33, 34, 51, 55, 66, 85, 102, 110, 165, 170, 187, 255, 330, 374, 510, 561, 935, 1122, 1870, 2805

Step-4: Factors of 5627

List of positive integer factors of 5627 that divides 5610 without a remainder.

1, 17, 331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5610 and 5627. The biggest common factor number is the GCF number.
So the greatest common factor 5610 and 5627 is 17.

Also check out the Least Common Multiple of 5610 and 5627