What is the Greatest Common Factor of 86790 and 86804?

Greatest common factor (GCF) of 86790 and 86804 is 2.

GCF(86790,86804) = 2

We will now calculate the prime factors of 86790 and 86804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86790 and 86804.

How to find the GCF of 86790 and 86804?

We will first find the prime factorization of 86790 and 86804. After we will calculate the factors of 86790 and 86804 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86804

Prime factors of 86804 are 2, 21701. Prime factorization of 86804 in exponential form is:

86804 = 2² × 21701¹

Step-3: Factors of 86790

List of positive integer factors of 86790 that divides 86790 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

Step-4: Factors of 86804

List of positive integer factors of 86804 that divides 86790 without a remainder.

1, 2, 4, 21701, 43402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86790 and 86804. The biggest common factor number is the GCF number.
So the greatest common factor 86790 and 86804 is 2.

Also check out the Least Common Multiple of 86790 and 86804