What is the Greatest Common Factor of 6717 and 6735?

Greatest common factor (GCF) of 6717 and 6735 is 3.

GCF(6717,6735) = 3

We will now calculate the prime factors of 6717 and 6735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6717 and 6735.

How to find the GCF of 6717 and 6735?

We will first find the prime factorization of 6717 and 6735. After we will calculate the factors of 6717 and 6735 and find the biggest common factor number .

Step-1: Prime Factorization of 6717

Prime factors of 6717 are 3, 2239. Prime factorization of 6717 in exponential form is:

6717 = 3¹ × 2239¹

Step-2: Prime Factorization of 6735

Prime factors of 6735 are 3, 5, 449. Prime factorization of 6735 in exponential form is:

6735 = 3¹ × 5¹ × 449¹

Step-3: Factors of 6717

List of positive integer factors of 6717 that divides 6717 without a remainder.

1, 3, 2239

Step-4: Factors of 6735

List of positive integer factors of 6735 that divides 6717 without a remainder.

1, 3, 5, 15, 449, 1347, 2245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6717 and 6735. The biggest common factor number is the GCF number.
So the greatest common factor 6717 and 6735 is 3.

Also check out the Least Common Multiple of 6717 and 6735