What is the Greatest Common Factor of 6503 and 6512?

Greatest common factor (GCF) of 6503 and 6512 is 1.

GCF(6503,6512) = 1

We will now calculate the prime factors of 6503 and 6512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6503 and 6512.

How to find the GCF of 6503 and 6512?

We will first find the prime factorization of 6503 and 6512. After we will calculate the factors of 6503 and 6512 and find the biggest common factor number .

Step-1: Prime Factorization of 6503

Prime factors of 6503 are 7, 929. Prime factorization of 6503 in exponential form is:

6503 = 7¹ × 929¹

Step-2: 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-3: Factors of 6503

List of positive integer factors of 6503 that divides 6503 without a remainder.

1, 7, 929

Step-4: Factors of 6512

List of positive integer factors of 6512 that divides 6503 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6503 and 6512. The biggest common factor number is the GCF number.
So the greatest common factor 6503 and 6512 is 1.

Also check out the Least Common Multiple of 6503 and 6512