What is the Greatest Common Factor of 6605 and 6625?

Greatest common factor (GCF) of 6605 and 6625 is 5.

GCF(6605,6625) = 5

We will now calculate the prime factors of 6605 and 6625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6605 and 6625.

How to find the GCF of 6605 and 6625?

We will first find the prime factorization of 6605 and 6625. After we will calculate the factors of 6605 and 6625 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 6625

Prime factors of 6625 are 5, 53. Prime factorization of 6625 in exponential form is:

6625 = 5³ × 53¹

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 6625

List of positive integer factors of 6625 that divides 6605 without a remainder.

1, 5, 25, 53, 125, 265, 1325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6605 and 6625. The biggest common factor number is the GCF number.
So the greatest common factor 6605 and 6625 is 5.

Also check out the Least Common Multiple of 6605 and 6625