What is the Greatest Common Factor of 6403 and 6422?

Greatest common factor (GCF) of 6403 and 6422 is 19.

GCF(6403,6422) = 19

We will now calculate the prime factors of 6403 and 6422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6403 and 6422.

How to find the GCF of 6403 and 6422?

We will first find the prime factorization of 6403 and 6422. After we will calculate the factors of 6403 and 6422 and find the biggest common factor number .

Step-1: Prime Factorization of 6403

Prime factors of 6403 are 19, 337. Prime factorization of 6403 in exponential form is:

6403 = 19¹ × 337¹

Step-2: Prime Factorization of 6422

Prime factors of 6422 are 2, 13, 19. Prime factorization of 6422 in exponential form is:

6422 = 2¹ × 13² × 19¹

Step-3: Factors of 6403

List of positive integer factors of 6403 that divides 6403 without a remainder.

1, 19, 337

Step-4: Factors of 6422

List of positive integer factors of 6422 that divides 6403 without a remainder.

1, 2, 13, 19, 26, 38, 169, 247, 338, 494, 3211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6403 and 6422. The biggest common factor number is the GCF number.
So the greatest common factor 6403 and 6422 is 19.

Also check out the Least Common Multiple of 6403 and 6422