What is the Greatest Common Factor of 5600 and 5610?

Greatest common factor (GCF) of 5600 and 5610 is 10.

GCF(5600,5610) = 10

We will now calculate the prime factors of 5600 and 5610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5600 and 5610.

How to find the GCF of 5600 and 5610?

We will first find the prime factorization of 5600 and 5610. After we will calculate the factors of 5600 and 5610 and find the biggest common factor number .

Step-1: Prime Factorization of 5600

Prime factors of 5600 are 2, 5, 7. Prime factorization of 5600 in exponential form is:

5600 = 2⁵ × 5² × 7¹

Step-2: 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-3: Factors of 5600

List of positive integer factors of 5600 that divides 5600 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 350, 400, 560, 700, 800, 1120, 1400, 2800

Step-4: Factors of 5610

List of positive integer factors of 5610 that divides 5600 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5600 and 5610. The biggest common factor number is the GCF number.
So the greatest common factor 5600 and 5610 is 10.

Also check out the Least Common Multiple of 5600 and 5610