What is the Greatest Common Factor of 63309 and 63321?

Greatest common factor (GCF) of 63309 and 63321 is 3.

GCF(63309,63321) = 3

We will now calculate the prime factors of 63309 and 63321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63309 and 63321.

How to find the GCF of 63309 and 63321?

We will first find the prime factorization of 63309 and 63321. After we will calculate the factors of 63309 and 63321 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63321

Prime factors of 63321 are 3, 21107. Prime factorization of 63321 in exponential form is:

63321 = 3¹ × 21107¹

Step-3: Factors of 63309

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

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

Step-4: Factors of 63321

List of positive integer factors of 63321 that divides 63309 without a remainder.

1, 3, 21107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63309 and 63321. The biggest common factor number is the GCF number.
So the greatest common factor 63309 and 63321 is 3.

Also check out the Least Common Multiple of 63309 and 63321