What is the Greatest Common Factor of 6443 and 6460?

Greatest common factor (GCF) of 6443 and 6460 is 17.

GCF(6443,6460) = 17

We will now calculate the prime factors of 6443 and 6460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6443 and 6460.

How to find the GCF of 6443 and 6460?

We will first find the prime factorization of 6443 and 6460. After we will calculate the factors of 6443 and 6460 and find the biggest common factor number .

Step-1: Prime Factorization of 6443

Prime factors of 6443 are 17, 379. Prime factorization of 6443 in exponential form is:

6443 = 17¹ × 379¹

Step-2: Prime Factorization of 6460

Prime factors of 6460 are 2, 5, 17, 19. Prime factorization of 6460 in exponential form is:

6460 = 2² × 5¹ × 17¹ × 19¹

Step-3: Factors of 6443

List of positive integer factors of 6443 that divides 6443 without a remainder.

1, 17, 379

Step-4: Factors of 6460

List of positive integer factors of 6460 that divides 6443 without a remainder.

1, 2, 4, 5, 10, 17, 19, 20, 34, 38, 68, 76, 85, 95, 170, 190, 323, 340, 380, 646, 1292, 1615, 3230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6443 and 6460. The biggest common factor number is the GCF number.
So the greatest common factor 6443 and 6460 is 17.

Also check out the Least Common Multiple of 6443 and 6460