What is the Greatest Common Factor of 63459 and 63471?

Greatest common factor (GCF) of 63459 and 63471 is 3.

GCF(63459,63471) = 3

We will now calculate the prime factors of 63459 and 63471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63459 and 63471.

How to find the GCF of 63459 and 63471?

We will first find the prime factorization of 63459 and 63471. After we will calculate the factors of 63459 and 63471 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63471

Prime factors of 63471 are 3, 21157. Prime factorization of 63471 in exponential form is:

63471 = 3¹ × 21157¹

Step-3: Factors of 63459

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

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

Step-4: Factors of 63471

List of positive integer factors of 63471 that divides 63459 without a remainder.

1, 3, 21157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63459 and 63471. The biggest common factor number is the GCF number.
So the greatest common factor 63459 and 63471 is 3.

Also check out the Least Common Multiple of 63459 and 63471