What is the Greatest Common Factor of 80871 and 80886?

Greatest common factor (GCF) of 80871 and 80886 is 3.

GCF(80871,80886) = 3

We will now calculate the prime factors of 80871 and 80886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80871 and 80886.

How to find the GCF of 80871 and 80886?

We will first find the prime factorization of 80871 and 80886. After we will calculate the factors of 80871 and 80886 and find the biggest common factor number .

Step-1: Prime Factorization of 80871

Prime factors of 80871 are 3, 7, 3851. Prime factorization of 80871 in exponential form is:

80871 = 3¹ × 7¹ × 3851¹

Step-2: 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-3: Factors of 80871

List of positive integer factors of 80871 that divides 80871 without a remainder.

1, 3, 7, 21, 3851, 11553, 26957

Step-4: Factors of 80886

List of positive integer factors of 80886 that divides 80871 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80871 and 80886. The biggest common factor number is the GCF number.
So the greatest common factor 80871 and 80886 is 3.

Also check out the Least Common Multiple of 80871 and 80886