What is the Greatest Common Factor of 6735 and 6740?

Greatest common factor (GCF) of 6735 and 6740 is 5.

GCF(6735,6740) = 5

We will now calculate the prime factors of 6735 and 6740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6735 and 6740.

How to find the GCF of 6735 and 6740?

We will first find the prime factorization of 6735 and 6740. After we will calculate the factors of 6735 and 6740 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6740

Prime factors of 6740 are 2, 5, 337. Prime factorization of 6740 in exponential form is:

6740 = 2² × 5¹ × 337¹

Step-3: Factors of 6735

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

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

Step-4: Factors of 6740

List of positive integer factors of 6740 that divides 6735 without a remainder.

1, 2, 4, 5, 10, 20, 337, 674, 1348, 1685, 3370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6735 and 6740. The biggest common factor number is the GCF number.
So the greatest common factor 6735 and 6740 is 5.

Also check out the Least Common Multiple of 6735 and 6740