What is the Greatest Common Factor of 63423 and 63429?

Greatest common factor (GCF) of 63423 and 63429 is 3.

GCF(63423,63429) = 3

We will now calculate the prime factors of 63423 and 63429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63423 and 63429.

How to find the GCF of 63423 and 63429?

We will first find the prime factorization of 63423 and 63429. After we will calculate the factors of 63423 and 63429 and find the biggest common factor number .

Step-1: Prime Factorization of 63423

Prime factors of 63423 are 3, 29. Prime factorization of 63423 in exponential form is:

63423 = 3⁷ × 29¹

Step-2: Prime Factorization of 63429

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

63429 = 3¹ × 21143¹

Step-3: Factors of 63423

List of positive integer factors of 63423 that divides 63423 without a remainder.

1, 3, 9, 27, 29, 81, 87, 243, 261, 729, 783, 2187, 2349, 7047, 21141

Step-4: Factors of 63429

List of positive integer factors of 63429 that divides 63423 without a remainder.

1, 3, 21143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63423 and 63429. The biggest common factor number is the GCF number.
So the greatest common factor 63423 and 63429 is 3.

Also check out the Least Common Multiple of 63423 and 63429