What is the Greatest Common Factor of 6417 and 6437?

Greatest common factor (GCF) of 6417 and 6437 is 1.

GCF(6417,6437) = 1

We will now calculate the prime factors of 6417 and 6437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6417 and 6437.

How to find the GCF of 6417 and 6437?

We will first find the prime factorization of 6417 and 6437. After we will calculate the factors of 6417 and 6437 and find the biggest common factor number .

Step-1: Prime Factorization of 6417

Prime factors of 6417 are 3, 23, 31. Prime factorization of 6417 in exponential form is:

6417 = 3² × 23¹ × 31¹

Step-2: Prime Factorization of 6437

Prime factors of 6437 are 41, 157. Prime factorization of 6437 in exponential form is:

6437 = 41¹ × 157¹

Step-3: Factors of 6417

List of positive integer factors of 6417 that divides 6417 without a remainder.

1, 3, 9, 23, 31, 69, 93, 207, 279, 713, 2139

Step-4: Factors of 6437

List of positive integer factors of 6437 that divides 6417 without a remainder.

1, 41, 157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6417 and 6437. The biggest common factor number is the GCF number.
So the greatest common factor 6417 and 6437 is 1.

Also check out the Least Common Multiple of 6417 and 6437