What is the Greatest Common Factor of 6448 and 6468?

Greatest common factor (GCF) of 6448 and 6468 is 4.

GCF(6448,6468) = 4

We will now calculate the prime factors of 6448 and 6468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6448 and 6468.

How to find the GCF of 6448 and 6468?

We will first find the prime factorization of 6448 and 6468. After we will calculate the factors of 6448 and 6468 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 6468

Prime factors of 6468 are 2, 3, 7, 11. Prime factorization of 6468 in exponential form is:

6468 = 2² × 3¹ × 7² × 11¹

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 6468

List of positive integer factors of 6468 that divides 6448 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 49, 66, 77, 84, 98, 132, 147, 154, 196, 231, 294, 308, 462, 539, 588, 924, 1078, 1617, 2156, 3234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6448 and 6468. The biggest common factor number is the GCF number.
So the greatest common factor 6448 and 6468 is 4.

Also check out the Least Common Multiple of 6448 and 6468