What is the Greatest Common Factor of 6586 and 6604?

Greatest common factor (GCF) of 6586 and 6604 is 2.

GCF(6586,6604) = 2

We will now calculate the prime factors of 6586 and 6604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6586 and 6604.

How to find the GCF of 6586 and 6604?

We will first find the prime factorization of 6586 and 6604. After we will calculate the factors of 6586 and 6604 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 6604

Prime factors of 6604 are 2, 13, 127. Prime factorization of 6604 in exponential form is:

6604 = 2² × 13¹ × 127¹

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 6604

List of positive integer factors of 6604 that divides 6586 without a remainder.

1, 2, 4, 13, 26, 52, 127, 254, 508, 1651, 3302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6586 and 6604. The biggest common factor number is the GCF number.
So the greatest common factor 6586 and 6604 is 2.

Also check out the Least Common Multiple of 6586 and 6604