What is the Greatest Common Factor of 63459 and 63470?

Greatest common factor (GCF) of 63459 and 63470 is 11.

GCF(63459,63470) = 11

We will now calculate the prime factors of 63459 and 63470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63459 and 63470.

How to find the GCF of 63459 and 63470?

We will first find the prime factorization of 63459 and 63470. After we will calculate the factors of 63459 and 63470 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 63470

Prime factors of 63470 are 2, 5, 11, 577. Prime factorization of 63470 in exponential form is:

63470 = 2¹ × 5¹ × 11¹ × 577¹

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 63470

List of positive integer factors of 63470 that divides 63459 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 577, 1154, 2885, 5770, 6347, 12694, 31735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63459 and 63470. The biggest common factor number is the GCF number.
So the greatest common factor 63459 and 63470 is 11.

Also check out the Least Common Multiple of 63459 and 63470