What is the Greatest Common Factor of 80608 and 80614?

Greatest common factor (GCF) of 80608 and 80614 is 2.

GCF(80608,80614) = 2

We will now calculate the prime factors of 80608 and 80614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80608 and 80614.

How to find the GCF of 80608 and 80614?

We will first find the prime factorization of 80608 and 80614. After we will calculate the factors of 80608 and 80614 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 80614

Prime factors of 80614 are 2, 17, 2371. Prime factorization of 80614 in exponential form is:

80614 = 2¹ × 17¹ × 2371¹

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 80614

List of positive integer factors of 80614 that divides 80608 without a remainder.

1, 2, 17, 34, 2371, 4742, 40307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80608 and 80614. The biggest common factor number is the GCF number.
So the greatest common factor 80608 and 80614 is 2.

Also check out the Least Common Multiple of 80608 and 80614