What is the Greatest Common Factor of 6608 and 6614?

Greatest common factor (GCF) of 6608 and 6614 is 2.

GCF(6608,6614) = 2

We will now calculate the prime factors of 6608 and 6614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6608 and 6614.

How to find the GCF of 6608 and 6614?

We will first find the prime factorization of 6608 and 6614. After we will calculate the factors of 6608 and 6614 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 6614

Prime factors of 6614 are 2, 3307. Prime factorization of 6614 in exponential form is:

6614 = 2¹ × 3307¹

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 6614

List of positive integer factors of 6614 that divides 6608 without a remainder.

1, 2, 3307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6608 and 6614. The biggest common factor number is the GCF number.
So the greatest common factor 6608 and 6614 is 2.

Also check out the Least Common Multiple of 6608 and 6614