What is the Greatest Common Factor of 80872 and 80886?

Greatest common factor (GCF) of 80872 and 80886 is 2.

GCF(80872,80886) = 2

We will now calculate the prime factors of 80872 and 80886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80872 and 80886.

How to find the GCF of 80872 and 80886?

We will first find the prime factorization of 80872 and 80886. After we will calculate the factors of 80872 and 80886 and find the biggest common factor number .

Step-1: Prime Factorization of 80872

Prime factors of 80872 are 2, 11, 919. Prime factorization of 80872 in exponential form is:

80872 = 2³ × 11¹ × 919¹

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 80872

List of positive integer factors of 80872 that divides 80872 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 919, 1838, 3676, 7352, 10109, 20218, 40436

Step-4: Factors of 80886

List of positive integer factors of 80886 that divides 80872 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 80872 and 80886. The biggest common factor number is the GCF number.
So the greatest common factor 80872 and 80886 is 2.

Also check out the Least Common Multiple of 80872 and 80886