What is the Greatest Common Factor of 80800 and 80814?

Greatest common factor (GCF) of 80800 and 80814 is 2.

GCF(80800,80814) = 2

We will now calculate the prime factors of 80800 and 80814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80800 and 80814.

How to find the GCF of 80800 and 80814?

We will first find the prime factorization of 80800 and 80814. After we will calculate the factors of 80800 and 80814 and find the biggest common factor number .

Step-1: Prime Factorization of 80800

Prime factors of 80800 are 2, 5, 101. Prime factorization of 80800 in exponential form is:

80800 = 2⁵ × 5² × 101¹

Step-2: Prime Factorization of 80814

Prime factors of 80814 are 2, 3, 13469. Prime factorization of 80814 in exponential form is:

80814 = 2¹ × 3¹ × 13469¹

Step-3: Factors of 80800

List of positive integer factors of 80800 that divides 80800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 101, 160, 200, 202, 400, 404, 505, 800, 808, 1010, 1616, 2020, 2525, 3232, 4040, 5050, 8080, 10100, 16160, 20200, 40400

Step-4: Factors of 80814

List of positive integer factors of 80814 that divides 80800 without a remainder.

1, 2, 3, 6, 13469, 26938, 40407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80800 and 80814. The biggest common factor number is the GCF number.
So the greatest common factor 80800 and 80814 is 2.

Also check out the Least Common Multiple of 80800 and 80814