What is the Greatest Common Factor of 6601 and 6607?

Greatest common factor (GCF) of 6601 and 6607 is 1.

GCF(6601,6607) = 1

We will now calculate the prime factors of 6601 and 6607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6601 and 6607.

How to find the GCF of 6601 and 6607?

We will first find the prime factorization of 6601 and 6607. After we will calculate the factors of 6601 and 6607 and find the biggest common factor number .

Step-1: Prime Factorization of 6601

Prime factors of 6601 are 7, 23, 41. Prime factorization of 6601 in exponential form is:

6601 = 7¹ × 23¹ × 41¹

Step-2: Prime Factorization of 6607

Prime factors of 6607 are 6607. Prime factorization of 6607 in exponential form is:

6607 = 6607¹

Step-3: Factors of 6601

List of positive integer factors of 6601 that divides 6601 without a remainder.

1, 7, 23, 41, 161, 287, 943

Step-4: Factors of 6607

List of positive integer factors of 6607 that divides 6601 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6601 and 6607. The biggest common factor number is the GCF number.
So the greatest common factor 6601 and 6607 is 1.

Also check out the Least Common Multiple of 6601 and 6607