What is the Greatest Common Factor of 80796 and 80805?

Greatest common factor (GCF) of 80796 and 80805 is 3.

GCF(80796,80805) = 3

We will now calculate the prime factors of 80796 and 80805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80796 and 80805.

How to find the GCF of 80796 and 80805?

We will first find the prime factorization of 80796 and 80805. After we will calculate the factors of 80796 and 80805 and find the biggest common factor number .

Step-1: Prime Factorization of 80796

Prime factors of 80796 are 2, 3, 6733. Prime factorization of 80796 in exponential form is:

80796 = 2² × 3¹ × 6733¹

Step-2: Prime Factorization of 80805

Prime factors of 80805 are 3, 5, 5387. Prime factorization of 80805 in exponential form is:

80805 = 3¹ × 5¹ × 5387¹

Step-3: Factors of 80796

List of positive integer factors of 80796 that divides 80796 without a remainder.

1, 2, 3, 4, 6, 12, 6733, 13466, 20199, 26932, 40398

Step-4: Factors of 80805

List of positive integer factors of 80805 that divides 80796 without a remainder.

1, 3, 5, 15, 5387, 16161, 26935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80796 and 80805. The biggest common factor number is the GCF number.
So the greatest common factor 80796 and 80805 is 3.

Also check out the Least Common Multiple of 80796 and 80805