What is the Greatest Common Factor of 63444 and 63459?

Greatest common factor (GCF) of 63444 and 63459 is 3.

GCF(63444,63459) = 3

We will now calculate the prime factors of 63444 and 63459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63444 and 63459.

How to find the GCF of 63444 and 63459?

We will first find the prime factorization of 63444 and 63459. After we will calculate the factors of 63444 and 63459 and find the biggest common factor number .

Step-1: Prime Factorization of 63444

Prime factors of 63444 are 2, 3, 17, 311. Prime factorization of 63444 in exponential form is:

63444 = 2² × 3¹ × 17¹ × 311¹

Step-2: Prime Factorization of 63459

Prime factors of 63459 are 3, 11, 641. Prime factorization of 63459 in exponential form is:

63459 = 3² × 11¹ × 641¹

Step-3: Factors of 63444

List of positive integer factors of 63444 that divides 63444 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 311, 622, 933, 1244, 1866, 3732, 5287, 10574, 15861, 21148, 31722

Step-4: Factors of 63459

List of positive integer factors of 63459 that divides 63444 without a remainder.

1, 3, 9, 11, 33, 99, 641, 1923, 5769, 7051, 21153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63444 and 63459. The biggest common factor number is the GCF number.
So the greatest common factor 63444 and 63459 is 3.

Also check out the Least Common Multiple of 63444 and 63459