What is the Greatest Common Factor of 66561 and 66567?

Greatest common factor (GCF) of 66561 and 66567 is 3.

GCF(66561,66567) = 3

We will now calculate the prime factors of 66561 and 66567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66561 and 66567.

How to find the GCF of 66561 and 66567?

We will first find the prime factorization of 66561 and 66567. After we will calculate the factors of 66561 and 66567 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 66567

Prime factors of 66567 are 3, 22189. Prime factorization of 66567 in exponential form is:

66567 = 3¹ × 22189¹

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 66567

List of positive integer factors of 66567 that divides 66561 without a remainder.

1, 3, 22189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66561 and 66567. The biggest common factor number is the GCF number.
So the greatest common factor 66561 and 66567 is 3.

Also check out the Least Common Multiple of 66561 and 66567