What is the Greatest Common Factor of 6523 and 6541?

Greatest common factor (GCF) of 6523 and 6541 is 1.

GCF(6523,6541) = 1

We will now calculate the prime factors of 6523 and 6541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6523 and 6541.

How to find the GCF of 6523 and 6541?

We will first find the prime factorization of 6523 and 6541. After we will calculate the factors of 6523 and 6541 and find the biggest common factor number .

Step-1: Prime Factorization of 6523

Prime factors of 6523 are 11, 593. Prime factorization of 6523 in exponential form is:

6523 = 11¹ × 593¹

Step-2: Prime Factorization of 6541

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

6541 = 31¹ × 211¹

Step-3: Factors of 6523

List of positive integer factors of 6523 that divides 6523 without a remainder.

1, 11, 593

Step-4: Factors of 6541

List of positive integer factors of 6541 that divides 6523 without a remainder.

1, 31, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6523 and 6541. The biggest common factor number is the GCF number.
So the greatest common factor 6523 and 6541 is 1.

Also check out the Least Common Multiple of 6523 and 6541