What is the Greatest Common Factor of 66546 and 66561?

Greatest common factor (GCF) of 66546 and 66561 is 3.

GCF(66546,66561) = 3

We will now calculate the prime factors of 66546 and 66561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66546 and 66561.

How to find the GCF of 66546 and 66561?

We will first find the prime factorization of 66546 and 66561. After we will calculate the factors of 66546 and 66561 and find the biggest common factor number .

Step-1: Prime Factorization of 66546

Prime factors of 66546 are 2, 3, 3697. Prime factorization of 66546 in exponential form is:

66546 = 2¹ × 3² × 3697¹

Step-2: 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-3: Factors of 66546

List of positive integer factors of 66546 that divides 66546 without a remainder.

1, 2, 3, 6, 9, 18, 3697, 7394, 11091, 22182, 33273

Step-4: Factors of 66561

List of positive integer factors of 66561 that divides 66546 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66546 and 66561. The biggest common factor number is the GCF number.
So the greatest common factor 66546 and 66561 is 3.

Also check out the Least Common Multiple of 66546 and 66561