What is the Greatest Common Factor of 65591 and 65609?

Greatest common factor (GCF) of 65591 and 65609 is 1.

GCF(65591,65609) = 1

We will now calculate the prime factors of 65591 and 65609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65591 and 65609.

How to find the GCF of 65591 and 65609?

We will first find the prime factorization of 65591 and 65609. After we will calculate the factors of 65591 and 65609 and find the biggest common factor number .

Step-1: Prime Factorization of 65591

Prime factors of 65591 are 107, 613. Prime factorization of 65591 in exponential form is:

65591 = 107¹ × 613¹

Step-2: Prime Factorization of 65609

Prime factors of 65609 are 65609. Prime factorization of 65609 in exponential form is:

65609 = 65609¹

Step-3: Factors of 65591

List of positive integer factors of 65591 that divides 65591 without a remainder.

1, 107, 613

Step-4: Factors of 65609

List of positive integer factors of 65609 that divides 65591 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65591 and 65609. The biggest common factor number is the GCF number.
So the greatest common factor 65591 and 65609 is 1.

Also check out the Least Common Multiple of 65591 and 65609