What is the Greatest Common Factor of 6512 and 6523?

Greatest common factor (GCF) of 6512 and 6523 is 11.

GCF(6512,6523) = 11

We will now calculate the prime factors of 6512 and 6523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6512 and 6523.

How to find the GCF of 6512 and 6523?

We will first find the prime factorization of 6512 and 6523. After we will calculate the factors of 6512 and 6523 and find the biggest common factor number .

Step-1: Prime Factorization of 6512

Prime factors of 6512 are 2, 11, 37. Prime factorization of 6512 in exponential form is:

6512 = 2⁴ × 11¹ × 37¹

Step-2: Prime Factorization of 6523

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

6523 = 11¹ × 593¹

Step-3: Factors of 6512

List of positive integer factors of 6512 that divides 6512 without a remainder.

1, 2, 4, 8, 11, 16, 22, 37, 44, 74, 88, 148, 176, 296, 407, 592, 814, 1628, 3256

Step-4: Factors of 6523

List of positive integer factors of 6523 that divides 6512 without a remainder.

1, 11, 593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6512 and 6523. The biggest common factor number is the GCF number.
So the greatest common factor 6512 and 6523 is 11.

Also check out the Least Common Multiple of 6512 and 6523