What is the Greatest Common Factor of 63417 and 63423?

Greatest common factor (GCF) of 63417 and 63423 is 3.

GCF(63417,63423) = 3

We will now calculate the prime factors of 63417 and 63423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63417 and 63423.

How to find the GCF of 63417 and 63423?

We will first find the prime factorization of 63417 and 63423. After we will calculate the factors of 63417 and 63423 and find the biggest common factor number .

Step-1: Prime Factorization of 63417

Prime factors of 63417 are 3, 21139. Prime factorization of 63417 in exponential form is:

63417 = 3¹ × 21139¹

Step-2: Prime Factorization of 63423

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

63423 = 3⁷ × 29¹

Step-3: Factors of 63417

List of positive integer factors of 63417 that divides 63417 without a remainder.

1, 3, 21139

Step-4: Factors of 63423

List of positive integer factors of 63423 that divides 63417 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63417 and 63423. The biggest common factor number is the GCF number.
So the greatest common factor 63417 and 63423 is 3.

Also check out the Least Common Multiple of 63417 and 63423