What is the Greatest Common Factor of 86880 and 86889?

Greatest common factor (GCF) of 86880 and 86889 is 3.

GCF(86880,86889) = 3

We will now calculate the prime factors of 86880 and 86889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86880 and 86889.

How to find the GCF of 86880 and 86889?

We will first find the prime factorization of 86880 and 86889. After we will calculate the factors of 86880 and 86889 and find the biggest common factor number .

Step-1: Prime Factorization of 86880

Prime factors of 86880 are 2, 3, 5, 181. Prime factorization of 86880 in exponential form is:

86880 = 2⁵ × 3¹ × 5¹ × 181¹

Step-2: Prime Factorization of 86889

Prime factors of 86889 are 3, 11, 2633. Prime factorization of 86889 in exponential form is:

86889 = 3¹ × 11¹ × 2633¹

Step-3: Factors of 86880

List of positive integer factors of 86880 that divides 86880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 181, 240, 362, 480, 543, 724, 905, 1086, 1448, 1810, 2172, 2715, 2896, 3620, 4344, 5430, 5792, 7240, 8688, 10860, 14480, 17376, 21720, 28960, 43440

Step-4: Factors of 86889

List of positive integer factors of 86889 that divides 86880 without a remainder.

1, 3, 11, 33, 2633, 7899, 28963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86880 and 86889. The biggest common factor number is the GCF number.
So the greatest common factor 86880 and 86889 is 3.

Also check out the Least Common Multiple of 86880 and 86889