What is the Greatest Common Factor of 80806 and 80817?

Greatest common factor (GCF) of 80806 and 80817 is 11.

GCF(80806,80817) = 11

We will now calculate the prime factors of 80806 and 80817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80806 and 80817.

How to find the GCF of 80806 and 80817?

We will first find the prime factorization of 80806 and 80817. After we will calculate the factors of 80806 and 80817 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 80817

Prime factors of 80817 are 3, 11, 31, 79. Prime factorization of 80817 in exponential form is:

80817 = 3¹ × 11¹ × 31¹ × 79¹

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 80817

List of positive integer factors of 80817 that divides 80806 without a remainder.

1, 3, 11, 31, 33, 79, 93, 237, 341, 869, 1023, 2449, 2607, 7347, 26939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80806 and 80817. The biggest common factor number is the GCF number.
So the greatest common factor 80806 and 80817 is 11.

Also check out the Least Common Multiple of 80806 and 80817