What is the Greatest Common Factor of 6407 and 6414?

Greatest common factor (GCF) of 6407 and 6414 is 1.

GCF(6407,6414) = 1

We will now calculate the prime factors of 6407 and 6414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6407 and 6414.

How to find the GCF of 6407 and 6414?

We will first find the prime factorization of 6407 and 6414. After we will calculate the factors of 6407 and 6414 and find the biggest common factor number .

Step-1: Prime Factorization of 6407

Prime factors of 6407 are 43, 149. Prime factorization of 6407 in exponential form is:

6407 = 43¹ × 149¹

Step-2: Prime Factorization of 6414

Prime factors of 6414 are 2, 3, 1069. Prime factorization of 6414 in exponential form is:

6414 = 2¹ × 3¹ × 1069¹

Step-3: Factors of 6407

List of positive integer factors of 6407 that divides 6407 without a remainder.

1, 43, 149

Step-4: Factors of 6414

List of positive integer factors of 6414 that divides 6407 without a remainder.

1, 2, 3, 6, 1069, 2138, 3207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6407 and 6414. The biggest common factor number is the GCF number.
So the greatest common factor 6407 and 6414 is 1.

Also check out the Least Common Multiple of 6407 and 6414