What is the Greatest Common Factor of 6448 and 6458?

Greatest common factor (GCF) of 6448 and 6458 is 2.

GCF(6448,6458) = 2

We will now calculate the prime factors of 6448 and 6458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6448 and 6458.

How to find the GCF of 6448 and 6458?

We will first find the prime factorization of 6448 and 6458. After we will calculate the factors of 6448 and 6458 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 6458

Prime factors of 6458 are 2, 3229. Prime factorization of 6458 in exponential form is:

6458 = 2¹ × 3229¹

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 6458

List of positive integer factors of 6458 that divides 6448 without a remainder.

1, 2, 3229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6448 and 6458. The biggest common factor number is the GCF number.
So the greatest common factor 6448 and 6458 is 2.

Also check out the Least Common Multiple of 6448 and 6458