What is the Greatest Common Factor of 63303 and 63309?

Greatest common factor (GCF) of 63303 and 63309 is 3.

GCF(63303,63309) = 3

We will now calculate the prime factors of 63303 and 63309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63303 and 63309.

How to find the GCF of 63303 and 63309?

We will first find the prime factorization of 63303 and 63309. After we will calculate the factors of 63303 and 63309 and find the biggest common factor number .

Step-1: Prime Factorization of 63303

Prime factors of 63303 are 3, 21101. Prime factorization of 63303 in exponential form is:

63303 = 3¹ × 21101¹

Step-2: Prime Factorization of 63309

Prime factors of 63309 are 3, 47, 449. Prime factorization of 63309 in exponential form is:

63309 = 3¹ × 47¹ × 449¹

Step-3: Factors of 63303

List of positive integer factors of 63303 that divides 63303 without a remainder.

1, 3, 21101

Step-4: Factors of 63309

List of positive integer factors of 63309 that divides 63303 without a remainder.

1, 3, 47, 141, 449, 1347, 21103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63303 and 63309. The biggest common factor number is the GCF number.
So the greatest common factor 63303 and 63309 is 3.

Also check out the Least Common Multiple of 63303 and 63309