What is the Greatest Common Factor of 6604 and 6616?

Greatest common factor (GCF) of 6604 and 6616 is 4.

GCF(6604,6616) = 4

We will now calculate the prime factors of 6604 and 6616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6604 and 6616.

How to find the GCF of 6604 and 6616?

We will first find the prime factorization of 6604 and 6616. After we will calculate the factors of 6604 and 6616 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6616

Prime factors of 6616 are 2, 827. Prime factorization of 6616 in exponential form is:

6616 = 2³ × 827¹

Step-3: Factors of 6604

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

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

Step-4: Factors of 6616

List of positive integer factors of 6616 that divides 6604 without a remainder.

1, 2, 4, 8, 827, 1654, 3308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6604 and 6616. The biggest common factor number is the GCF number.
So the greatest common factor 6604 and 6616 is 4.

Also check out the Least Common Multiple of 6604 and 6616