What is the Greatest Common Factor of 80806 and 80826?

Greatest common factor (GCF) of 80806 and 80826 is 2.

GCF(80806,80826) = 2

We will now calculate the prime factors of 80806 and 80826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80806 and 80826.

How to find the GCF of 80806 and 80826?

We will first find the prime factorization of 80806 and 80826. After we will calculate the factors of 80806 and 80826 and find the biggest common factor number .

Step-1: Prime Factorization of 80806

Prime factors of 80806 are 2, 11, 3673. Prime factorization of 80806 in exponential form is:

80806 = 2¹ × 11¹ × 3673¹

Step-2: 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-3: Factors of 80806

List of positive integer factors of 80806 that divides 80806 without a remainder.

1, 2, 11, 22, 3673, 7346, 40403

Step-4: Factors of 80826

List of positive integer factors of 80826 that divides 80806 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80806 and 80826. The biggest common factor number is the GCF number.
So the greatest common factor 80806 and 80826 is 2.

Also check out the Least Common Multiple of 80806 and 80826