What is the Greatest Common Factor of 66297 and 66303?

Greatest common factor (GCF) of 66297 and 66303 is 3.

GCF(66297,66303) = 3

We will now calculate the prime factors of 66297 and 66303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66297 and 66303.

How to find the GCF of 66297 and 66303?

We will first find the prime factorization of 66297 and 66303. After we will calculate the factors of 66297 and 66303 and find the biggest common factor number .

Step-1: Prime Factorization of 66297

Prime factors of 66297 are 3, 7, 11, 41. Prime factorization of 66297 in exponential form is:

66297 = 3¹ × 7² × 11¹ × 41¹

Step-2: Prime Factorization of 66303

Prime factors of 66303 are 3, 53, 139. Prime factorization of 66303 in exponential form is:

66303 = 3² × 53¹ × 139¹

Step-3: Factors of 66297

List of positive integer factors of 66297 that divides 66297 without a remainder.

1, 3, 7, 11, 21, 33, 41, 49, 77, 123, 147, 231, 287, 451, 539, 861, 1353, 1617, 2009, 3157, 6027, 9471, 22099

Step-4: Factors of 66303

List of positive integer factors of 66303 that divides 66297 without a remainder.

1, 3, 9, 53, 139, 159, 417, 477, 1251, 7367, 22101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66297 and 66303. The biggest common factor number is the GCF number.
So the greatest common factor 66297 and 66303 is 3.

Also check out the Least Common Multiple of 66297 and 66303