What is the Greatest Common Factor of 86872 and 86880?

Greatest common factor (GCF) of 86872 and 86880 is 8.

GCF(86872,86880) = 8

We will now calculate the prime factors of 86872 and 86880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86872 and 86880.

How to find the GCF of 86872 and 86880?

We will first find the prime factorization of 86872 and 86880. After we will calculate the factors of 86872 and 86880 and find the biggest common factor number .

Step-1: Prime Factorization of 86872

Prime factors of 86872 are 2, 10859. Prime factorization of 86872 in exponential form is:

86872 = 2³ × 10859¹

Step-2: 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-3: Factors of 86872

List of positive integer factors of 86872 that divides 86872 without a remainder.

1, 2, 4, 8, 10859, 21718, 43436

Step-4: Factors of 86880

List of positive integer factors of 86880 that divides 86872 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86872 and 86880. The biggest common factor number is the GCF number.
So the greatest common factor 86872 and 86880 is 8.

Also check out the Least Common Multiple of 86872 and 86880