What is the Greatest Common Factor of 2608 and 2616?

Greatest common factor (GCF) of 2608 and 2616 is 8.

GCF(2608,2616) = 8

We will now calculate the prime factors of 2608 and 2616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2608 and 2616.

How to find the GCF of 2608 and 2616?

We will first find the prime factorization of 2608 and 2616. After we will calculate the factors of 2608 and 2616 and find the biggest common factor number .

Step-1: Prime Factorization of 2608

Prime factors of 2608 are 2, 163. Prime factorization of 2608 in exponential form is:

2608 = 2⁴ × 163¹

Step-2: Prime Factorization of 2616

Prime factors of 2616 are 2, 3, 109. Prime factorization of 2616 in exponential form is:

2616 = 2³ × 3¹ × 109¹

Step-3: Factors of 2608

List of positive integer factors of 2608 that divides 2608 without a remainder.

1, 2, 4, 8, 16, 163, 326, 652, 1304

Step-4: Factors of 2616

List of positive integer factors of 2616 that divides 2608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2608 and 2616. The biggest common factor number is the GCF number.
So the greatest common factor 2608 and 2616 is 8.

Also check out the Least Common Multiple of 2608 and 2616