What is the Greatest Common Factor of 6586 and 6601?

Greatest common factor (GCF) of 6586 and 6601 is 1.

GCF(6586,6601) = 1

We will now calculate the prime factors of 6586 and 6601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6586 and 6601.

How to find the GCF of 6586 and 6601?

We will first find the prime factorization of 6586 and 6601. After we will calculate the factors of 6586 and 6601 and find the biggest common factor number .

Step-1: Prime Factorization of 6586

Prime factors of 6586 are 2, 37, 89. Prime factorization of 6586 in exponential form is:

6586 = 2¹ × 37¹ × 89¹

Step-2: 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-3: Factors of 6586

List of positive integer factors of 6586 that divides 6586 without a remainder.

1, 2, 37, 74, 89, 178, 3293

Step-4: Factors of 6601

List of positive integer factors of 6601 that divides 6586 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6586 and 6601. The biggest common factor number is the GCF number.
So the greatest common factor 6586 and 6601 is 1.

Also check out the Least Common Multiple of 6586 and 6601