What is the Greatest Common Factor of 66564 and 66569?

Greatest common factor (GCF) of 66564 and 66569 is 1.

GCF(66564,66569) = 1

We will now calculate the prime factors of 66564 and 66569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66564 and 66569.

How to find the GCF of 66564 and 66569?

We will first find the prime factorization of 66564 and 66569. After we will calculate the factors of 66564 and 66569 and find the biggest common factor number .

Step-1: Prime Factorization of 66564

Prime factors of 66564 are 2, 3, 43. Prime factorization of 66564 in exponential form is:

66564 = 2² × 3² × 43²

Step-2: Prime Factorization of 66569

Prime factors of 66569 are 66569. Prime factorization of 66569 in exponential form is:

66569 = 66569¹

Step-3: Factors of 66564

List of positive integer factors of 66564 that divides 66564 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 86, 129, 172, 258, 387, 516, 774, 1548, 1849, 3698, 5547, 7396, 11094, 16641, 22188, 33282

Step-4: Factors of 66569

List of positive integer factors of 66569 that divides 66564 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66564 and 66569. The biggest common factor number is the GCF number.
So the greatest common factor 66564 and 66569 is 1.

Also check out the Least Common Multiple of 66564 and 66569