What is the Greatest Common Factor of 80826 and 80835?

Greatest common factor (GCF) of 80826 and 80835 is 3.

GCF(80826,80835) = 3

We will now calculate the prime factors of 80826 and 80835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80826 and 80835.

How to find the GCF of 80826 and 80835?

We will first find the prime factorization of 80826 and 80835. After we will calculate the factors of 80826 and 80835 and find the biggest common factor number .

Step-1: Prime Factorization of 80826

Prime factors of 80826 are 2, 3, 19, 709. Prime factorization of 80826 in exponential form is:

80826 = 2¹ × 3¹ × 19¹ × 709¹

Step-2: Prime Factorization of 80835

Prime factors of 80835 are 3, 5, 17, 317. Prime factorization of 80835 in exponential form is:

80835 = 3¹ × 5¹ × 17¹ × 317¹

Step-3: Factors of 80826

List of positive integer factors of 80826 that divides 80826 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 709, 1418, 2127, 4254, 13471, 26942, 40413

Step-4: Factors of 80835

List of positive integer factors of 80835 that divides 80826 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 317, 951, 1585, 4755, 5389, 16167, 26945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80826 and 80835. The biggest common factor number is the GCF number.
So the greatest common factor 80826 and 80835 is 3.

Also check out the Least Common Multiple of 80826 and 80835