What is the Greatest Common Factor of 63429 and 63444?

Greatest common factor (GCF) of 63429 and 63444 is 3.

GCF(63429,63444) = 3

We will now calculate the prime factors of 63429 and 63444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63429 and 63444.

How to find the GCF of 63429 and 63444?

We will first find the prime factorization of 63429 and 63444. After we will calculate the factors of 63429 and 63444 and find the biggest common factor number .

Step-1: Prime Factorization of 63429

Prime factors of 63429 are 3, 21143. Prime factorization of 63429 in exponential form is:

63429 = 3¹ × 21143¹

Step-2: 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-3: Factors of 63429

List of positive integer factors of 63429 that divides 63429 without a remainder.

1, 3, 21143

Step-4: Factors of 63444

List of positive integer factors of 63444 that divides 63429 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63429 and 63444. The biggest common factor number is the GCF number.
So the greatest common factor 63429 and 63444 is 3.

Also check out the Least Common Multiple of 63429 and 63444