What is the Greatest Common Factor of 66789 and 66801?

Greatest common factor (GCF) of 66789 and 66801 is 3.

GCF(66789,66801) = 3

We will now calculate the prime factors of 66789 and 66801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66789 and 66801.

How to find the GCF of 66789 and 66801?

We will first find the prime factorization of 66789 and 66801. After we will calculate the factors of 66789 and 66801 and find the biggest common factor number .

Step-1: Prime Factorization of 66789

Prime factors of 66789 are 3, 41, 181. Prime factorization of 66789 in exponential form is:

66789 = 3² × 41¹ × 181¹

Step-2: Prime Factorization of 66801

Prime factors of 66801 are 3, 7, 3181. Prime factorization of 66801 in exponential form is:

66801 = 3¹ × 7¹ × 3181¹

Step-3: Factors of 66789

List of positive integer factors of 66789 that divides 66789 without a remainder.

1, 3, 9, 41, 123, 181, 369, 543, 1629, 7421, 22263

Step-4: Factors of 66801

List of positive integer factors of 66801 that divides 66789 without a remainder.

1, 3, 7, 21, 3181, 9543, 22267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66789 and 66801. The biggest common factor number is the GCF number.
So the greatest common factor 66789 and 66801 is 3.

Also check out the Least Common Multiple of 66789 and 66801