What is the Greatest Common Factor of 6545 and 6559?

Greatest common factor (GCF) of 6545 and 6559 is 7.

GCF(6545,6559) = 7

We will now calculate the prime factors of 6545 and 6559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6545 and 6559.

How to find the GCF of 6545 and 6559?

We will first find the prime factorization of 6545 and 6559. After we will calculate the factors of 6545 and 6559 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 6559

Prime factors of 6559 are 7, 937. Prime factorization of 6559 in exponential form is:

6559 = 7¹ × 937¹

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 6559

List of positive integer factors of 6559 that divides 6545 without a remainder.

1, 7, 937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6545 and 6559. The biggest common factor number is the GCF number.
So the greatest common factor 6545 and 6559 is 7.

Also check out the Least Common Multiple of 6545 and 6559