What is the Greatest Common Factor of 80786 and 80800?

Greatest common factor (GCF) of 80786 and 80800 is 2.

GCF(80786,80800) = 2

We will now calculate the prime factors of 80786 and 80800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80786 and 80800.

How to find the GCF of 80786 and 80800?

We will first find the prime factorization of 80786 and 80800. After we will calculate the factors of 80786 and 80800 and find the biggest common factor number .

Step-1: Prime Factorization of 80786

Prime factors of 80786 are 2, 31, 1303. Prime factorization of 80786 in exponential form is:

80786 = 2¹ × 31¹ × 1303¹

Step-2: 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-3: Factors of 80786

List of positive integer factors of 80786 that divides 80786 without a remainder.

1, 2, 31, 62, 1303, 2606, 40393

Step-4: Factors of 80800

List of positive integer factors of 80800 that divides 80786 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80786 and 80800. The biggest common factor number is the GCF number.
So the greatest common factor 80786 and 80800 is 2.

Also check out the Least Common Multiple of 80786 and 80800