What is the Greatest Common Factor of 6540 and 6560?

Greatest common factor (GCF) of 6540 and 6560 is 20.

GCF(6540,6560) = 20

We will now calculate the prime factors of 6540 and 6560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6540 and 6560.

How to find the GCF of 6540 and 6560?

We will first find the prime factorization of 6540 and 6560. After we will calculate the factors of 6540 and 6560 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 6560

Prime factors of 6560 are 2, 5, 41. Prime factorization of 6560 in exponential form is:

6560 = 2⁵ × 5¹ × 41¹

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 6560

List of positive integer factors of 6560 that divides 6540 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 80, 82, 160, 164, 205, 328, 410, 656, 820, 1312, 1640, 3280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6540 and 6560. The biggest common factor number is the GCF number.
So the greatest common factor 6540 and 6560 is 20.

Also check out the Least Common Multiple of 6540 and 6560