What is the Greatest Common Factor of 66586 and 66599?

Greatest common factor (GCF) of 66586 and 66599 is 13.

GCF(66586,66599) = 13

We will now calculate the prime factors of 66586 and 66599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66586 and 66599.

How to find the GCF of 66586 and 66599?

We will first find the prime factorization of 66586 and 66599. After we will calculate the factors of 66586 and 66599 and find the biggest common factor number .

Step-1: Prime Factorization of 66586

Prime factors of 66586 are 2, 13, 197. Prime factorization of 66586 in exponential form is:

66586 = 2¹ × 13² × 197¹

Step-2: 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-3: Factors of 66586

List of positive integer factors of 66586 that divides 66586 without a remainder.

1, 2, 13, 26, 169, 197, 338, 394, 2561, 5122, 33293

Step-4: Factors of 66599

List of positive integer factors of 66599 that divides 66586 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66586 and 66599. The biggest common factor number is the GCF number.
So the greatest common factor 66586 and 66599 is 13.

Also check out the Least Common Multiple of 66586 and 66599