What is the Greatest Common Factor of 66909 and 66918?

Greatest common factor (GCF) of 66909 and 66918 is 3.

GCF(66909,66918) = 3

We will now calculate the prime factors of 66909 and 66918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66909 and 66918.

How to find the GCF of 66909 and 66918?

We will first find the prime factorization of 66909 and 66918. After we will calculate the factors of 66909 and 66918 and find the biggest common factor number .

Step-1: Prime Factorization of 66909

Prime factors of 66909 are 3, 22303. Prime factorization of 66909 in exponential form is:

66909 = 3¹ × 22303¹

Step-2: Prime Factorization of 66918

Prime factors of 66918 are 2, 3, 19, 587. Prime factorization of 66918 in exponential form is:

66918 = 2¹ × 3¹ × 19¹ × 587¹

Step-3: Factors of 66909

List of positive integer factors of 66909 that divides 66909 without a remainder.

1, 3, 22303

Step-4: Factors of 66918

List of positive integer factors of 66918 that divides 66909 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 587, 1174, 1761, 3522, 11153, 22306, 33459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66909 and 66918. The biggest common factor number is the GCF number.
So the greatest common factor 66909 and 66918 is 3.

Also check out the Least Common Multiple of 66909 and 66918