What is the Greatest Common Factor of 6448 and 6464?

Greatest common factor (GCF) of 6448 and 6464 is 16.

GCF(6448,6464) = 16

We will now calculate the prime factors of 6448 and 6464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6448 and 6464.

How to find the GCF of 6448 and 6464?

We will first find the prime factorization of 6448 and 6464. After we will calculate the factors of 6448 and 6464 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 6464

Prime factors of 6464 are 2, 101. Prime factorization of 6464 in exponential form is:

6464 = 2⁶ × 101¹

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 6464

List of positive integer factors of 6464 that divides 6448 without a remainder.

1, 2, 4, 8, 16, 32, 64, 101, 202, 404, 808, 1616, 3232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6448 and 6464. The biggest common factor number is the GCF number.
So the greatest common factor 6448 and 6464 is 16.

Also check out the Least Common Multiple of 6448 and 6464