What is the Greatest Common Factor of 86864 and 86880?

Greatest common factor (GCF) of 86864 and 86880 is 16.

GCF(86864,86880) = 16

We will now calculate the prime factors of 86864 and 86880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86864 and 86880.

How to find the GCF of 86864 and 86880?

We will first find the prime factorization of 86864 and 86880. After we will calculate the factors of 86864 and 86880 and find the biggest common factor number .

Step-1: Prime Factorization of 86864

Prime factors of 86864 are 2, 61, 89. Prime factorization of 86864 in exponential form is:

86864 = 2⁴ × 61¹ × 89¹

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 86864

List of positive integer factors of 86864 that divides 86864 without a remainder.

1, 2, 4, 8, 16, 61, 89, 122, 178, 244, 356, 488, 712, 976, 1424, 5429, 10858, 21716, 43432

Step-4: Factors of 86880

List of positive integer factors of 86880 that divides 86864 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 86864 and 86880. The biggest common factor number is the GCF number.
So the greatest common factor 86864 and 86880 is 16.

Also check out the Least Common Multiple of 86864 and 86880