What is the Greatest Common Factor of 86870 and 86880?

Greatest common factor (GCF) of 86870 and 86880 is 10.

GCF(86870,86880) = 10

We will now calculate the prime factors of 86870 and 86880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86870 and 86880.

How to find the GCF of 86870 and 86880?

We will first find the prime factorization of 86870 and 86880. After we will calculate the factors of 86870 and 86880 and find the biggest common factor number .

Step-1: Prime Factorization of 86870

Prime factors of 86870 are 2, 5, 7, 17, 73. Prime factorization of 86870 in exponential form is:

86870 = 2¹ × 5¹ × 7¹ × 17¹ × 73¹

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 86870

List of positive integer factors of 86870 that divides 86870 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 73, 85, 119, 146, 170, 238, 365, 511, 595, 730, 1022, 1190, 1241, 2482, 2555, 5110, 6205, 8687, 12410, 17374, 43435

Step-4: Factors of 86880

List of positive integer factors of 86880 that divides 86870 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 86870 and 86880. The biggest common factor number is the GCF number.
So the greatest common factor 86870 and 86880 is 10.

Also check out the Least Common Multiple of 86870 and 86880