What is the Greatest Common Factor of 80886 and 80899?

Greatest common factor (GCF) of 80886 and 80899 is 13.

GCF(80886,80899) = 13

We will now calculate the prime factors of 80886 and 80899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80886 and 80899.

How to find the GCF of 80886 and 80899?

We will first find the prime factorization of 80886 and 80899. After we will calculate the factors of 80886 and 80899 and find the biggest common factor number .

Step-1: Prime Factorization of 80886

Prime factors of 80886 are 2, 3, 13, 17, 61. Prime factorization of 80886 in exponential form is:

80886 = 2¹ × 3¹ × 13¹ × 17¹ × 61¹

Step-2: Prime Factorization of 80899

Prime factors of 80899 are 7, 13, 127. Prime factorization of 80899 in exponential form is:

80899 = 7² × 13¹ × 127¹

Step-3: Factors of 80886

List of positive integer factors of 80886 that divides 80886 without a remainder.

1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 61, 78, 102, 122, 183, 221, 366, 442, 663, 793, 1037, 1326, 1586, 2074, 2379, 3111, 4758, 6222, 13481, 26962, 40443

Step-4: Factors of 80899

List of positive integer factors of 80899 that divides 80886 without a remainder.

1, 7, 13, 49, 91, 127, 637, 889, 1651, 6223, 11557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80886 and 80899. The biggest common factor number is the GCF number.
So the greatest common factor 80886 and 80899 is 13.

Also check out the Least Common Multiple of 80886 and 80899