What is the Greatest Common Factor of 5600 and 5609?

Greatest common factor (GCF) of 5600 and 5609 is 1.

GCF(5600,5609) = 1

We will now calculate the prime factors of 5600 and 5609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5600 and 5609.

How to find the GCF of 5600 and 5609?

We will first find the prime factorization of 5600 and 5609. After we will calculate the factors of 5600 and 5609 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 5609

Prime factors of 5609 are 71, 79. Prime factorization of 5609 in exponential form is:

5609 = 71¹ × 79¹

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 5609

List of positive integer factors of 5609 that divides 5600 without a remainder.

1, 71, 79

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5600 and 5609. The biggest common factor number is the GCF number.
So the greatest common factor 5600 and 5609 is 1.

Also check out the Least Common Multiple of 5600 and 5609