What is the Greatest Common Factor of 86880 and 86886?

Greatest common factor (GCF) of 86880 and 86886 is 6.

GCF(86880,86886) = 6

We will now calculate the prime factors of 86880 and 86886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86880 and 86886.

How to find the GCF of 86880 and 86886?

We will first find the prime factorization of 86880 and 86886. After we will calculate the factors of 86880 and 86886 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 86886

Prime factors of 86886 are 2, 3, 1609. Prime factorization of 86886 in exponential form is:

86886 = 2¹ × 3³ × 1609¹

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 86886

List of positive integer factors of 86886 that divides 86880 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1609, 3218, 4827, 9654, 14481, 28962, 43443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86880 and 86886. The biggest common factor number is the GCF number.
So the greatest common factor 86880 and 86886 is 6.

Also check out the Least Common Multiple of 86880 and 86886