What is the Greatest Common Factor of 80795 and 80806?

Greatest common factor (GCF) of 80795 and 80806 is 11.

GCF(80795,80806) = 11

We will now calculate the prime factors of 80795 and 80806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80795 and 80806.

How to find the GCF of 80795 and 80806?

We will first find the prime factorization of 80795 and 80806. After we will calculate the factors of 80795 and 80806 and find the biggest common factor number .

Step-1: Prime Factorization of 80795

Prime factors of 80795 are 5, 11, 13, 113. Prime factorization of 80795 in exponential form is:

80795 = 5¹ × 11¹ × 13¹ × 113¹

Step-2: 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-3: Factors of 80795

List of positive integer factors of 80795 that divides 80795 without a remainder.

1, 5, 11, 13, 55, 65, 113, 143, 565, 715, 1243, 1469, 6215, 7345, 16159

Step-4: Factors of 80806

List of positive integer factors of 80806 that divides 80795 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80795 and 80806. The biggest common factor number is the GCF number.
So the greatest common factor 80795 and 80806 is 11.

Also check out the Least Common Multiple of 80795 and 80806