What is the Greatest Common Factor of 66573 and 66586?

Greatest common factor (GCF) of 66573 and 66586 is 13.

GCF(66573,66586) = 13

We will now calculate the prime factors of 66573 and 66586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66573 and 66586.

How to find the GCF of 66573 and 66586?

We will first find the prime factorization of 66573 and 66586. After we will calculate the factors of 66573 and 66586 and find the biggest common factor number .

Step-1: Prime Factorization of 66573

Prime factors of 66573 are 3, 13, 569. Prime factorization of 66573 in exponential form is:

66573 = 3² × 13¹ × 569¹

Step-2: 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-3: Factors of 66573

List of positive integer factors of 66573 that divides 66573 without a remainder.

1, 3, 9, 13, 39, 117, 569, 1707, 5121, 7397, 22191

Step-4: Factors of 66586

List of positive integer factors of 66586 that divides 66573 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66573 and 66586. The biggest common factor number is the GCF number.
So the greatest common factor 66573 and 66586 is 13.

Also check out the Least Common Multiple of 66573 and 66586