What is the Greatest Common Factor of 80596 and 80608?

Greatest common factor (GCF) of 80596 and 80608 is 4.

GCF(80596,80608) = 4

We will now calculate the prime factors of 80596 and 80608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80596 and 80608.

How to find the GCF of 80596 and 80608?

We will first find the prime factorization of 80596 and 80608. After we will calculate the factors of 80596 and 80608 and find the biggest common factor number .

Step-1: Prime Factorization of 80596

Prime factors of 80596 are 2, 20149. Prime factorization of 80596 in exponential form is:

80596 = 2² × 20149¹

Step-2: 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-3: Factors of 80596

List of positive integer factors of 80596 that divides 80596 without a remainder.

1, 2, 4, 20149, 40298

Step-4: Factors of 80608

List of positive integer factors of 80608 that divides 80596 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80596 and 80608. The biggest common factor number is the GCF number.
So the greatest common factor 80596 and 80608 is 4.

Also check out the Least Common Multiple of 80596 and 80608