What is the Greatest Common Factor of 6405 and 6417?

Greatest common factor (GCF) of 6405 and 6417 is 3.

GCF(6405,6417) = 3

We will now calculate the prime factors of 6405 and 6417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6405 and 6417.

How to find the GCF of 6405 and 6417?

We will first find the prime factorization of 6405 and 6417. After we will calculate the factors of 6405 and 6417 and find the biggest common factor number .

Step-1: Prime Factorization of 6405

Prime factors of 6405 are 3, 5, 7, 61. Prime factorization of 6405 in exponential form is:

6405 = 3¹ × 5¹ × 7¹ × 61¹

Step-2: 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-3: Factors of 6405

List of positive integer factors of 6405 that divides 6405 without a remainder.

1, 3, 5, 7, 15, 21, 35, 61, 105, 183, 305, 427, 915, 1281, 2135

Step-4: Factors of 6417

List of positive integer factors of 6417 that divides 6405 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6405 and 6417. The biggest common factor number is the GCF number.
So the greatest common factor 6405 and 6417 is 3.

Also check out the Least Common Multiple of 6405 and 6417