What is the Greatest Common Factor of 6510 and 6519?

Greatest common factor (GCF) of 6510 and 6519 is 3.

GCF(6510,6519) = 3

We will now calculate the prime factors of 6510 and 6519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6510 and 6519.

How to find the GCF of 6510 and 6519?

We will first find the prime factorization of 6510 and 6519. After we will calculate the factors of 6510 and 6519 and find the biggest common factor number .

Step-1: Prime Factorization of 6510

Prime factors of 6510 are 2, 3, 5, 7, 31. Prime factorization of 6510 in exponential form is:

6510 = 2¹ × 3¹ × 5¹ × 7¹ × 31¹

Step-2: Prime Factorization of 6519

Prime factors of 6519 are 3, 41, 53. Prime factorization of 6519 in exponential form is:

6519 = 3¹ × 41¹ × 53¹

Step-3: Factors of 6510

List of positive integer factors of 6510 that divides 6510 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 31, 35, 42, 62, 70, 93, 105, 155, 186, 210, 217, 310, 434, 465, 651, 930, 1085, 1302, 2170, 3255

Step-4: Factors of 6519

List of positive integer factors of 6519 that divides 6510 without a remainder.

1, 3, 41, 53, 123, 159, 2173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6510 and 6519. The biggest common factor number is the GCF number.
So the greatest common factor 6510 and 6519 is 3.

Also check out the Least Common Multiple of 6510 and 6519