What is the Greatest Common Factor of 6541 and 6560?

Greatest common factor (GCF) of 6541 and 6560 is 1.

GCF(6541,6560) = 1

We will now calculate the prime factors of 6541 and 6560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6541 and 6560.

How to find the GCF of 6541 and 6560?

We will first find the prime factorization of 6541 and 6560. After we will calculate the factors of 6541 and 6560 and find the biggest common factor number .

Step-1: Prime Factorization of 6541

Prime factors of 6541 are 31, 211. Prime factorization of 6541 in exponential form is:

6541 = 31¹ × 211¹

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 6541

List of positive integer factors of 6541 that divides 6541 without a remainder.

1, 31, 211

Step-4: Factors of 6560

List of positive integer factors of 6560 that divides 6541 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 6541 and 6560. The biggest common factor number is the GCF number.
So the greatest common factor 6541 and 6560 is 1.

Also check out the Least Common Multiple of 6541 and 6560