What is the Greatest Common Factor of 86775 and 86790?

Greatest common factor (GCF) of 86775 and 86790 is 15.

GCF(86775,86790) = 15

We will now calculate the prime factors of 86775 and 86790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86775 and 86790.

How to find the GCF of 86775 and 86790?

We will first find the prime factorization of 86775 and 86790. After we will calculate the factors of 86775 and 86790 and find the biggest common factor number .

Step-1: Prime Factorization of 86775

Prime factors of 86775 are 3, 5, 13, 89. Prime factorization of 86775 in exponential form is:

86775 = 3¹ × 5² × 13¹ × 89¹

Step-2: Prime Factorization of 86790

Prime factors of 86790 are 2, 3, 5, 11, 263. Prime factorization of 86790 in exponential form is:

86790 = 2¹ × 3¹ × 5¹ × 11¹ × 263¹

Step-3: Factors of 86775

List of positive integer factors of 86775 that divides 86775 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 89, 195, 267, 325, 445, 975, 1157, 1335, 2225, 3471, 5785, 6675, 17355, 28925

Step-4: Factors of 86790

List of positive integer factors of 86790 that divides 86775 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 263, 330, 526, 789, 1315, 1578, 2630, 2893, 3945, 5786, 7890, 8679, 14465, 17358, 28930, 43395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86775 and 86790. The biggest common factor number is the GCF number.
So the greatest common factor 86775 and 86790 is 15.

Also check out the Least Common Multiple of 86775 and 86790