What is the Greatest Common Factor of 6545 and 6562?

Greatest common factor (GCF) of 6545 and 6562 is 17.

GCF(6545,6562) = 17

We will now calculate the prime factors of 6545 and 6562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6545 and 6562.

How to find the GCF of 6545 and 6562?

We will first find the prime factorization of 6545 and 6562. After we will calculate the factors of 6545 and 6562 and find the biggest common factor number .

Step-1: Prime Factorization of 6545

Prime factors of 6545 are 5, 7, 11, 17. Prime factorization of 6545 in exponential form is:

6545 = 5¹ × 7¹ × 11¹ × 17¹

Step-2: 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-3: Factors of 6545

List of positive integer factors of 6545 that divides 6545 without a remainder.

1, 5, 7, 11, 17, 35, 55, 77, 85, 119, 187, 385, 595, 935, 1309

Step-4: Factors of 6562

List of positive integer factors of 6562 that divides 6545 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6545 and 6562. The biggest common factor number is the GCF number.
So the greatest common factor 6545 and 6562 is 17.

Also check out the Least Common Multiple of 6545 and 6562