What is the Greatest Common Factor of 6414 and 6427?

Greatest common factor (GCF) of 6414 and 6427 is 1.

GCF(6414,6427) = 1

We will now calculate the prime factors of 6414 and 6427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6414 and 6427.

How to find the GCF of 6414 and 6427?

We will first find the prime factorization of 6414 and 6427. After we will calculate the factors of 6414 and 6427 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6427

Prime factors of 6427 are 6427. Prime factorization of 6427 in exponential form is:

6427 = 6427¹

Step-3: Factors of 6414

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

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

Step-4: Factors of 6427

List of positive integer factors of 6427 that divides 6414 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6414 and 6427. The biggest common factor number is the GCF number.
So the greatest common factor 6414 and 6427 is 1.

Also check out the Least Common Multiple of 6414 and 6427