What is the Greatest Common Factor of 80886 and 80895?

Greatest common factor (GCF) of 80886 and 80895 is 3.

GCF(80886,80895) = 3

We will now calculate the prime factors of 80886 and 80895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80886 and 80895.

How to find the GCF of 80886 and 80895?

We will first find the prime factorization of 80886 and 80895. After we will calculate the factors of 80886 and 80895 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 80895

Prime factors of 80895 are 3, 5, 5393. Prime factorization of 80895 in exponential form is:

80895 = 3¹ × 5¹ × 5393¹

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 80895

List of positive integer factors of 80895 that divides 80886 without a remainder.

1, 3, 5, 15, 5393, 16179, 26965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80886 and 80895. The biggest common factor number is the GCF number.
So the greatest common factor 80886 and 80895 is 3.

Also check out the Least Common Multiple of 80886 and 80895