What is the Greatest Common Factor of 17608 and 17616?

Greatest common factor (GCF) of 17608 and 17616 is 8.

GCF(17608,17616) = 8

We will now calculate the prime factors of 17608 and 17616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17608 and 17616.

How to find the GCF of 17608 and 17616?

We will first find the prime factorization of 17608 and 17616. After we will calculate the factors of 17608 and 17616 and find the biggest common factor number .

Step-1: Prime Factorization of 17608

Prime factors of 17608 are 2, 31, 71. Prime factorization of 17608 in exponential form is:

17608 = 2³ × 31¹ × 71¹

Step-2: Prime Factorization of 17616

Prime factors of 17616 are 2, 3, 367. Prime factorization of 17616 in exponential form is:

17616 = 2⁴ × 3¹ × 367¹

Step-3: Factors of 17608

List of positive integer factors of 17608 that divides 17608 without a remainder.

1, 2, 4, 8, 31, 62, 71, 124, 142, 248, 284, 568, 2201, 4402, 8804

Step-4: Factors of 17616

List of positive integer factors of 17616 that divides 17608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 367, 734, 1101, 1468, 2202, 2936, 4404, 5872, 8808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17608 and 17616. The biggest common factor number is the GCF number.
So the greatest common factor 17608 and 17616 is 8.

Also check out the Least Common Multiple of 17608 and 17616