What is the Greatest Common Factor of 66885 and 66903?

Greatest common factor (GCF) of 66885 and 66903 is 3.

GCF(66885,66903) = 3

We will now calculate the prime factors of 66885 and 66903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66885 and 66903.

How to find the GCF of 66885 and 66903?

We will first find the prime factorization of 66885 and 66903. After we will calculate the factors of 66885 and 66903 and find the biggest common factor number .

Step-1: Prime Factorization of 66885

Prime factors of 66885 are 3, 5, 7, 13. Prime factorization of 66885 in exponential form is:

66885 = 3¹ × 5¹ × 7³ × 13¹

Step-2: Prime Factorization of 66903

Prime factors of 66903 are 3, 29, 769. Prime factorization of 66903 in exponential form is:

66903 = 3¹ × 29¹ × 769¹

Step-3: Factors of 66885

List of positive integer factors of 66885 that divides 66885 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 49, 65, 91, 105, 147, 195, 245, 273, 343, 455, 637, 735, 1029, 1365, 1715, 1911, 3185, 4459, 5145, 9555, 13377, 22295

Step-4: Factors of 66903

List of positive integer factors of 66903 that divides 66885 without a remainder.

1, 3, 29, 87, 769, 2307, 22301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66885 and 66903. The biggest common factor number is the GCF number.
So the greatest common factor 66885 and 66903 is 3.

Also check out the Least Common Multiple of 66885 and 66903