What is the Greatest Common Factor of 6448 and 6467?

Greatest common factor (GCF) of 6448 and 6467 is 1.

GCF(6448,6467) = 1

We will now calculate the prime factors of 6448 and 6467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6448 and 6467.

How to find the GCF of 6448 and 6467?

We will first find the prime factorization of 6448 and 6467. After we will calculate the factors of 6448 and 6467 and find the biggest common factor number .

Step-1: Prime Factorization of 6448

Prime factors of 6448 are 2, 13, 31. Prime factorization of 6448 in exponential form is:

6448 = 2⁴ × 13¹ × 31¹

Step-2: Prime Factorization of 6467

Prime factors of 6467 are 29, 223. Prime factorization of 6467 in exponential form is:

6467 = 29¹ × 223¹

Step-3: Factors of 6448

List of positive integer factors of 6448 that divides 6448 without a remainder.

1, 2, 4, 8, 13, 16, 26, 31, 52, 62, 104, 124, 208, 248, 403, 496, 806, 1612, 3224

Step-4: Factors of 6467

List of positive integer factors of 6467 that divides 6448 without a remainder.

1, 29, 223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6448 and 6467. The biggest common factor number is the GCF number.
So the greatest common factor 6448 and 6467 is 1.

Also check out the Least Common Multiple of 6448 and 6467