What is the Greatest Common Factor of 6608 and 6626?

Greatest common factor (GCF) of 6608 and 6626 is 2.

GCF(6608,6626) = 2

We will now calculate the prime factors of 6608 and 6626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6608 and 6626.

How to find the GCF of 6608 and 6626?

We will first find the prime factorization of 6608 and 6626. After we will calculate the factors of 6608 and 6626 and find the biggest common factor number .

Step-1: Prime Factorization of 6608

Prime factors of 6608 are 2, 7, 59. Prime factorization of 6608 in exponential form is:

6608 = 2⁴ × 7¹ × 59¹

Step-2: Prime Factorization of 6626

Prime factors of 6626 are 2, 3313. Prime factorization of 6626 in exponential form is:

6626 = 2¹ × 3313¹

Step-3: Factors of 6608

List of positive integer factors of 6608 that divides 6608 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 59, 112, 118, 236, 413, 472, 826, 944, 1652, 3304

Step-4: Factors of 6626

List of positive integer factors of 6626 that divides 6608 without a remainder.

1, 2, 3313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6608 and 6626. The biggest common factor number is the GCF number.
So the greatest common factor 6608 and 6626 is 2.

Also check out the Least Common Multiple of 6608 and 6626