What is the Greatest Common Factor of 80608 and 80616?

Greatest common factor (GCF) of 80608 and 80616 is 8.

GCF(80608,80616) = 8

We will now calculate the prime factors of 80608 and 80616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80608 and 80616.

How to find the GCF of 80608 and 80616?

We will first find the prime factorization of 80608 and 80616. After we will calculate the factors of 80608 and 80616 and find the biggest common factor number .

Step-1: Prime Factorization of 80608

Prime factors of 80608 are 2, 11, 229. Prime factorization of 80608 in exponential form is:

80608 = 2⁵ × 11¹ × 229¹

Step-2: Prime Factorization of 80616

Prime factors of 80616 are 2, 3, 3359. Prime factorization of 80616 in exponential form is:

80616 = 2³ × 3¹ × 3359¹

Step-3: Factors of 80608

List of positive integer factors of 80608 that divides 80608 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 229, 352, 458, 916, 1832, 2519, 3664, 5038, 7328, 10076, 20152, 40304

Step-4: Factors of 80616

List of positive integer factors of 80616 that divides 80608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3359, 6718, 10077, 13436, 20154, 26872, 40308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80608 and 80616. The biggest common factor number is the GCF number.
So the greatest common factor 80608 and 80616 is 8.

Also check out the Least Common Multiple of 80608 and 80616