What is the Greatest Common Factor of 6540 and 6555?

Greatest common factor (GCF) of 6540 and 6555 is 15.

GCF(6540,6555) = 15

We will now calculate the prime factors of 6540 and 6555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6540 and 6555.

How to find the GCF of 6540 and 6555?

We will first find the prime factorization of 6540 and 6555. After we will calculate the factors of 6540 and 6555 and find the biggest common factor number .

Step-1: Prime Factorization of 6540

Prime factors of 6540 are 2, 3, 5, 109. Prime factorization of 6540 in exponential form is:

6540 = 2² × 3¹ × 5¹ × 109¹

Step-2: Prime Factorization of 6555

Prime factors of 6555 are 3, 5, 19, 23. Prime factorization of 6555 in exponential form is:

6555 = 3¹ × 5¹ × 19¹ × 23¹

Step-3: Factors of 6540

List of positive integer factors of 6540 that divides 6540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 109, 218, 327, 436, 545, 654, 1090, 1308, 1635, 2180, 3270

Step-4: Factors of 6555

List of positive integer factors of 6555 that divides 6540 without a remainder.

1, 3, 5, 15, 19, 23, 57, 69, 95, 115, 285, 345, 437, 1311, 2185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6540 and 6555. The biggest common factor number is the GCF number.
So the greatest common factor 6540 and 6555 is 15.

Also check out the Least Common Multiple of 6540 and 6555