What is the Greatest Common Factor of 6523 and 6540?

Greatest common factor (GCF) of 6523 and 6540 is 1.

GCF(6523,6540) = 1

We will now calculate the prime factors of 6523 and 6540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6523 and 6540.

How to find the GCF of 6523 and 6540?

We will first find the prime factorization of 6523 and 6540. After we will calculate the factors of 6523 and 6540 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 6540

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

6540 = 2² × 3¹ × 5¹ × 109¹

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 6540

List of positive integer factors of 6540 that divides 6523 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6523 and 6540. The biggest common factor number is the GCF number.
So the greatest common factor 6523 and 6540 is 1.

Also check out the Least Common Multiple of 6523 and 6540