What is the Greatest Common Factor of 6448 and 6461?

Greatest common factor (GCF) of 6448 and 6461 is 13.

GCF(6448,6461) = 13

We will now calculate the prime factors of 6448 and 6461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6448 and 6461.

How to find the GCF of 6448 and 6461?

We will first find the prime factorization of 6448 and 6461. After we will calculate the factors of 6448 and 6461 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 6461

Prime factors of 6461 are 7, 13, 71. Prime factorization of 6461 in exponential form is:

6461 = 7¹ × 13¹ × 71¹

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 6461

List of positive integer factors of 6461 that divides 6448 without a remainder.

1, 7, 13, 71, 91, 497, 923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6448 and 6461. The biggest common factor number is the GCF number.
So the greatest common factor 6448 and 6461 is 13.

Also check out the Least Common Multiple of 6448 and 6461