What is the Greatest Common Factor of 66669 and 66681?

Greatest common factor (GCF) of 66669 and 66681 is 3.

GCF(66669,66681) = 3

We will now calculate the prime factors of 66669 and 66681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66669 and 66681.

How to find the GCF of 66669 and 66681?

We will first find the prime factorization of 66669 and 66681. After we will calculate the factors of 66669 and 66681 and find the biggest common factor number .

Step-1: Prime Factorization of 66669

Prime factors of 66669 are 3, 71, 313. Prime factorization of 66669 in exponential form is:

66669 = 3¹ × 71¹ × 313¹

Step-2: Prime Factorization of 66681

Prime factors of 66681 are 3, 31, 239. Prime factorization of 66681 in exponential form is:

66681 = 3² × 31¹ × 239¹

Step-3: Factors of 66669

List of positive integer factors of 66669 that divides 66669 without a remainder.

1, 3, 71, 213, 313, 939, 22223

Step-4: Factors of 66681

List of positive integer factors of 66681 that divides 66669 without a remainder.

1, 3, 9, 31, 93, 239, 279, 717, 2151, 7409, 22227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66669 and 66681. The biggest common factor number is the GCF number.
So the greatest common factor 66669 and 66681 is 3.

Also check out the Least Common Multiple of 66669 and 66681