What is the Greatest Common Factor of 66399 and 66408?

Greatest common factor (GCF) of 66399 and 66408 is 3.

GCF(66399,66408) = 3

We will now calculate the prime factors of 66399 and 66408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66399 and 66408.

How to find the GCF of 66399 and 66408?

We will first find the prime factorization of 66399 and 66408. After we will calculate the factors of 66399 and 66408 and find the biggest common factor number .

Step-1: Prime Factorization of 66399

Prime factors of 66399 are 3, 22133. Prime factorization of 66399 in exponential form is:

66399 = 3¹ × 22133¹

Step-2: Prime Factorization of 66408

Prime factors of 66408 are 2, 3, 2767. Prime factorization of 66408 in exponential form is:

66408 = 2³ × 3¹ × 2767¹

Step-3: Factors of 66399

List of positive integer factors of 66399 that divides 66399 without a remainder.

1, 3, 22133

Step-4: Factors of 66408

List of positive integer factors of 66408 that divides 66399 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2767, 5534, 8301, 11068, 16602, 22136, 33204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66399 and 66408. The biggest common factor number is the GCF number.
So the greatest common factor 66399 and 66408 is 3.

Also check out the Least Common Multiple of 66399 and 66408