What is the Greatest Common Factor of 6414 and 6419?

Greatest common factor (GCF) of 6414 and 6419 is 1.

GCF(6414,6419) = 1

We will now calculate the prime factors of 6414 and 6419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6414 and 6419.

How to find the GCF of 6414 and 6419?

We will first find the prime factorization of 6414 and 6419. After we will calculate the factors of 6414 and 6419 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 6419

Prime factors of 6419 are 7, 131. Prime factorization of 6419 in exponential form is:

6419 = 7² × 131¹

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 6419

List of positive integer factors of 6419 that divides 6414 without a remainder.

1, 7, 49, 131, 917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6414 and 6419. The biggest common factor number is the GCF number.
So the greatest common factor 6414 and 6419 is 1.

Also check out the Least Common Multiple of 6414 and 6419