What is the Greatest Common Factor of 66555 and 66561?

Greatest common factor (GCF) of 66555 and 66561 is 3.

GCF(66555,66561) = 3

We will now calculate the prime factors of 66555 and 66561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66555 and 66561.

How to find the GCF of 66555 and 66561?

We will first find the prime factorization of 66555 and 66561. After we will calculate the factors of 66555 and 66561 and find the biggest common factor number .

Step-1: Prime Factorization of 66555

Prime factors of 66555 are 3, 5, 17, 29. Prime factorization of 66555 in exponential form is:

66555 = 3³ × 5¹ × 17¹ × 29¹

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 66555

List of positive integer factors of 66555 that divides 66555 without a remainder.

1, 3, 5, 9, 15, 17, 27, 29, 45, 51, 85, 87, 135, 145, 153, 255, 261, 435, 459, 493, 765, 783, 1305, 1479, 2295, 2465, 3915, 4437, 7395, 13311, 22185

Step-4: Factors of 66561

List of positive integer factors of 66561 that divides 66555 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66555 and 66561. The biggest common factor number is the GCF number.
So the greatest common factor 66555 and 66561 is 3.

Also check out the Least Common Multiple of 66555 and 66561