What is the Greatest Common Factor of 86880 and 86898?

Greatest common factor (GCF) of 86880 and 86898 is 6.

GCF(86880,86898) = 6

We will now calculate the prime factors of 86880 and 86898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86880 and 86898.

How to find the GCF of 86880 and 86898?

We will first find the prime factorization of 86880 and 86898. After we will calculate the factors of 86880 and 86898 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 86898

Prime factors of 86898 are 2, 3, 7, 2069. Prime factorization of 86898 in exponential form is:

86898 = 2¹ × 3¹ × 7¹ × 2069¹

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 86898

List of positive integer factors of 86898 that divides 86880 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2069, 4138, 6207, 12414, 14483, 28966, 43449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86880 and 86898. The biggest common factor number is the GCF number.
So the greatest common factor 86880 and 86898 is 6.

Also check out the Least Common Multiple of 86880 and 86898