What is the Greatest Common Factor of 80684 and 80698?

Greatest common factor (GCF) of 80684 and 80698 is 2.

GCF(80684,80698) = 2

We will now calculate the prime factors of 80684 and 80698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80684 and 80698.

How to find the GCF of 80684 and 80698?

We will first find the prime factorization of 80684 and 80698. After we will calculate the factors of 80684 and 80698 and find the biggest common factor number .

Step-1: Prime Factorization of 80684

Prime factors of 80684 are 2, 23, 877. Prime factorization of 80684 in exponential form is:

80684 = 2² × 23¹ × 877¹

Step-2: Prime Factorization of 80698

Prime factors of 80698 are 2, 157, 257. Prime factorization of 80698 in exponential form is:

80698 = 2¹ × 157¹ × 257¹

Step-3: Factors of 80684

List of positive integer factors of 80684 that divides 80684 without a remainder.

1, 2, 4, 23, 46, 92, 877, 1754, 3508, 20171, 40342

Step-4: Factors of 80698

List of positive integer factors of 80698 that divides 80684 without a remainder.

1, 2, 157, 257, 314, 514, 40349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80684 and 80698. The biggest common factor number is the GCF number.
So the greatest common factor 80684 and 80698 is 2.

Also check out the Least Common Multiple of 80684 and 80698