What is the Greatest Common Factor of 5609 and 5614?

Greatest common factor (GCF) of 5609 and 5614 is 1.

GCF(5609,5614) = 1

We will now calculate the prime factors of 5609 and 5614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5609 and 5614.

How to find the GCF of 5609 and 5614?

We will first find the prime factorization of 5609 and 5614. After we will calculate the factors of 5609 and 5614 and find the biggest common factor number .

Step-1: Prime Factorization of 5609

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

5609 = 71¹ × 79¹

Step-2: Prime Factorization of 5614

Prime factors of 5614 are 2, 7, 401. Prime factorization of 5614 in exponential form is:

5614 = 2¹ × 7¹ × 401¹

Step-3: Factors of 5609

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

1, 71, 79

Step-4: Factors of 5614

List of positive integer factors of 5614 that divides 5609 without a remainder.

1, 2, 7, 14, 401, 802, 2807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5609 and 5614. The biggest common factor number is the GCF number.
So the greatest common factor 5609 and 5614 is 1.

Also check out the Least Common Multiple of 5609 and 5614