What is the Greatest Common Factor of 6523 and 6527?

Greatest common factor (GCF) of 6523 and 6527 is 1.

GCF(6523,6527) = 1

We will now calculate the prime factors of 6523 and 6527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6523 and 6527.

How to find the GCF of 6523 and 6527?

We will first find the prime factorization of 6523 and 6527. After we will calculate the factors of 6523 and 6527 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 6527

Prime factors of 6527 are 61, 107. Prime factorization of 6527 in exponential form is:

6527 = 61¹ × 107¹

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 6527

List of positive integer factors of 6527 that divides 6523 without a remainder.

1, 61, 107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6523 and 6527. The biggest common factor number is the GCF number.
So the greatest common factor 6523 and 6527 is 1.

Also check out the Least Common Multiple of 6523 and 6527