What is the Greatest Common Factor of 66057 and 66069?

Greatest common factor (GCF) of 66057 and 66069 is 3.

GCF(66057,66069) = 3

We will now calculate the prime factors of 66057 and 66069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66057 and 66069.

How to find the GCF of 66057 and 66069?

We will first find the prime factorization of 66057 and 66069. After we will calculate the factors of 66057 and 66069 and find the biggest common factor number .

Step-1: Prime Factorization of 66057

Prime factors of 66057 are 3, 97, 227. Prime factorization of 66057 in exponential form is:

66057 = 3¹ × 97¹ × 227¹

Step-2: Prime Factorization of 66069

Prime factors of 66069 are 3, 2447. Prime factorization of 66069 in exponential form is:

66069 = 3³ × 2447¹

Step-3: Factors of 66057

List of positive integer factors of 66057 that divides 66057 without a remainder.

1, 3, 97, 227, 291, 681, 22019

Step-4: Factors of 66069

List of positive integer factors of 66069 that divides 66057 without a remainder.

1, 3, 9, 27, 2447, 7341, 22023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66057 and 66069. The biggest common factor number is the GCF number.
So the greatest common factor 66057 and 66069 is 3.

Also check out the Least Common Multiple of 66057 and 66069