What is the Greatest Common Factor of 66561 and 66566?

Greatest common factor (GCF) of 66561 and 66566 is 1.

GCF(66561,66566) = 1

We will now calculate the prime factors of 66561 and 66566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66561 and 66566.

How to find the GCF of 66561 and 66566?

We will first find the prime factorization of 66561 and 66566. After we will calculate the factors of 66561 and 66566 and find the biggest common factor number .

Step-1: Prime Factorization of 66561

Prime factors of 66561 are 3, 11, 2017. Prime factorization of 66561 in exponential form is:

66561 = 3¹ × 11¹ × 2017¹

Step-2: Prime Factorization of 66566

Prime factors of 66566 are 2, 83, 401. Prime factorization of 66566 in exponential form is:

66566 = 2¹ × 83¹ × 401¹

Step-3: Factors of 66561

List of positive integer factors of 66561 that divides 66561 without a remainder.

1, 3, 11, 33, 2017, 6051, 22187

Step-4: Factors of 66566

List of positive integer factors of 66566 that divides 66561 without a remainder.

1, 2, 83, 166, 401, 802, 33283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66561 and 66566. The biggest common factor number is the GCF number.
So the greatest common factor 66561 and 66566 is 1.

Also check out the Least Common Multiple of 66561 and 66566