What is the Greatest Common Factor of 66599 and 66613?

Greatest common factor (GCF) of 66599 and 66613 is 1.

GCF(66599,66613) = 1

We will now calculate the prime factors of 66599 and 66613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66599 and 66613.

How to find the GCF of 66599 and 66613?

We will first find the prime factorization of 66599 and 66613. After we will calculate the factors of 66599 and 66613 and find the biggest common factor number .

Step-1: Prime Factorization of 66599

Prime factors of 66599 are 13, 47, 109. Prime factorization of 66599 in exponential form is:

66599 = 13¹ × 47¹ × 109¹

Step-2: Prime Factorization of 66613

Prime factors of 66613 are 29, 2297. Prime factorization of 66613 in exponential form is:

66613 = 29¹ × 2297¹

Step-3: Factors of 66599

List of positive integer factors of 66599 that divides 66599 without a remainder.

1, 13, 47, 109, 611, 1417, 5123

Step-4: Factors of 66613

List of positive integer factors of 66613 that divides 66599 without a remainder.

1, 29, 2297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66599 and 66613. The biggest common factor number is the GCF number.
So the greatest common factor 66599 and 66613 is 1.

Also check out the Least Common Multiple of 66599 and 66613