What is the Greatest Common Factor of 80684 and 80692?

Greatest common factor (GCF) of 80684 and 80692 is 4.

GCF(80684,80692) = 4

We will now calculate the prime factors of 80684 and 80692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80684 and 80692.

How to find the GCF of 80684 and 80692?

We will first find the prime factorization of 80684 and 80692. After we will calculate the factors of 80684 and 80692 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 80692

Prime factors of 80692 are 2, 20173. Prime factorization of 80692 in exponential form is:

80692 = 2² × 20173¹

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 80692

List of positive integer factors of 80692 that divides 80684 without a remainder.

1, 2, 4, 20173, 40346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80684 and 80692. The biggest common factor number is the GCF number.
So the greatest common factor 80684 and 80692 is 4.

Also check out the Least Common Multiple of 80684 and 80692