What is the Greatest Common Factor of 63448 and 63459?

Greatest common factor (GCF) of 63448 and 63459 is 11.

GCF(63448,63459) = 11

We will now calculate the prime factors of 63448 and 63459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63448 and 63459.

How to find the GCF of 63448 and 63459?

We will first find the prime factorization of 63448 and 63459. After we will calculate the factors of 63448 and 63459 and find the biggest common factor number .

Step-1: Prime Factorization of 63448

Prime factors of 63448 are 2, 7, 11, 103. Prime factorization of 63448 in exponential form is:

63448 = 2³ × 7¹ × 11¹ × 103¹

Step-2: 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-3: Factors of 63448

List of positive integer factors of 63448 that divides 63448 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 103, 154, 206, 308, 412, 616, 721, 824, 1133, 1442, 2266, 2884, 4532, 5768, 7931, 9064, 15862, 31724

Step-4: Factors of 63459

List of positive integer factors of 63459 that divides 63448 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63448 and 63459. The biggest common factor number is the GCF number.
So the greatest common factor 63448 and 63459 is 11.

Also check out the Least Common Multiple of 63448 and 63459