What is the Greatest Common Factor of 6605 and 6623?

Greatest common factor (GCF) of 6605 and 6623 is 1.

GCF(6605,6623) = 1

We will now calculate the prime factors of 6605 and 6623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6605 and 6623.

How to find the GCF of 6605 and 6623?

We will first find the prime factorization of 6605 and 6623. After we will calculate the factors of 6605 and 6623 and find the biggest common factor number .

Step-1: Prime Factorization of 6605

Prime factors of 6605 are 5, 1321. Prime factorization of 6605 in exponential form is:

6605 = 5¹ × 1321¹

Step-2: Prime Factorization of 6623

Prime factors of 6623 are 37, 179. Prime factorization of 6623 in exponential form is:

6623 = 37¹ × 179¹

Step-3: Factors of 6605

List of positive integer factors of 6605 that divides 6605 without a remainder.

1, 5, 1321

Step-4: Factors of 6623

List of positive integer factors of 6623 that divides 6605 without a remainder.

1, 37, 179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6605 and 6623. The biggest common factor number is the GCF number.
So the greatest common factor 6605 and 6623 is 1.

Also check out the Least Common Multiple of 6605 and 6623