What is the Greatest Common Factor of 63459 and 63465?

Greatest common factor (GCF) of 63459 and 63465 is 3.

GCF(63459,63465) = 3

We will now calculate the prime factors of 63459 and 63465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63459 and 63465.

How to find the GCF of 63459 and 63465?

We will first find the prime factorization of 63459 and 63465. After we will calculate the factors of 63459 and 63465 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 63465

Prime factors of 63465 are 3, 5, 4231. Prime factorization of 63465 in exponential form is:

63465 = 3¹ × 5¹ × 4231¹

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 63465

List of positive integer factors of 63465 that divides 63459 without a remainder.

1, 3, 5, 15, 4231, 12693, 21155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63459 and 63465. The biggest common factor number is the GCF number.
So the greatest common factor 63459 and 63465 is 3.

Also check out the Least Common Multiple of 63459 and 63465