What is the Greatest Common Factor of 80886 and 80903?

Greatest common factor (GCF) of 80886 and 80903 is 17.

GCF(80886,80903) = 17

We will now calculate the prime factors of 80886 and 80903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80886 and 80903.

How to find the GCF of 80886 and 80903?

We will first find the prime factorization of 80886 and 80903. After we will calculate the factors of 80886 and 80903 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 80903

Prime factors of 80903 are 17, 4759. Prime factorization of 80903 in exponential form is:

80903 = 17¹ × 4759¹

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 80903

List of positive integer factors of 80903 that divides 80886 without a remainder.

1, 17, 4759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80886 and 80903. The biggest common factor number is the GCF number.
So the greatest common factor 80886 and 80903 is 17.

Also check out the Least Common Multiple of 80886 and 80903