What is the Greatest Common Factor of 6562 and 6579?

Greatest common factor (GCF) of 6562 and 6579 is 17.

GCF(6562,6579) = 17

We will now calculate the prime factors of 6562 and 6579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6562 and 6579.

How to find the GCF of 6562 and 6579?

We will first find the prime factorization of 6562 and 6579. After we will calculate the factors of 6562 and 6579 and find the biggest common factor number .

Step-1: Prime Factorization of 6562

Prime factors of 6562 are 2, 17, 193. Prime factorization of 6562 in exponential form is:

6562 = 2¹ × 17¹ × 193¹

Step-2: Prime Factorization of 6579

Prime factors of 6579 are 3, 17, 43. Prime factorization of 6579 in exponential form is:

6579 = 3² × 17¹ × 43¹

Step-3: Factors of 6562

List of positive integer factors of 6562 that divides 6562 without a remainder.

1, 2, 17, 34, 193, 386, 3281

Step-4: Factors of 6579

List of positive integer factors of 6579 that divides 6562 without a remainder.

1, 3, 9, 17, 43, 51, 129, 153, 387, 731, 2193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6562 and 6579. The biggest common factor number is the GCF number.
So the greatest common factor 6562 and 6579 is 17.

Also check out the Least Common Multiple of 6562 and 6579