What is the Greatest Common Factor of 5649 and 5659?

Greatest common factor (GCF) of 5649 and 5659 is 1.

GCF(5649,5659) = 1

We will now calculate the prime factors of 5649 and 5659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5649 and 5659.

How to find the GCF of 5649 and 5659?

We will first find the prime factorization of 5649 and 5659. After we will calculate the factors of 5649 and 5659 and find the biggest common factor number .

Step-1: Prime Factorization of 5649

Prime factors of 5649 are 3, 7, 269. Prime factorization of 5649 in exponential form is:

5649 = 3¹ × 7¹ × 269¹

Step-2: Prime Factorization of 5659

Prime factors of 5659 are 5659. Prime factorization of 5659 in exponential form is:

5659 = 5659¹

Step-3: Factors of 5649

List of positive integer factors of 5649 that divides 5649 without a remainder.

1, 3, 7, 21, 269, 807, 1883

Step-4: Factors of 5659

List of positive integer factors of 5659 that divides 5649 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5649 and 5659. The biggest common factor number is the GCF number.
So the greatest common factor 5649 and 5659 is 1.

Also check out the Least Common Multiple of 5649 and 5659