What is the Greatest Common Factor of 85686 and 85690?

Greatest common factor (GCF) of 85686 and 85690 is 2.

GCF(85686,85690) = 2

We will now calculate the prime factors of 85686 and 85690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85686 and 85690.

How to find the GCF of 85686 and 85690?

We will first find the prime factorization of 85686 and 85690. After we will calculate the factors of 85686 and 85690 and find the biggest common factor number .

Step-1: Prime Factorization of 85686

Prime factors of 85686 are 2, 3, 14281. Prime factorization of 85686 in exponential form is:

85686 = 2¹ × 3¹ × 14281¹

Step-2: Prime Factorization of 85690

Prime factors of 85690 are 2, 5, 11, 19, 41. Prime factorization of 85690 in exponential form is:

85690 = 2¹ × 5¹ × 11¹ × 19¹ × 41¹

Step-3: Factors of 85686

List of positive integer factors of 85686 that divides 85686 without a remainder.

1, 2, 3, 6, 14281, 28562, 42843

Step-4: Factors of 85690

List of positive integer factors of 85690 that divides 85686 without a remainder.

1, 2, 5, 10, 11, 19, 22, 38, 41, 55, 82, 95, 110, 190, 205, 209, 410, 418, 451, 779, 902, 1045, 1558, 2090, 2255, 3895, 4510, 7790, 8569, 17138, 42845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85686 and 85690. The biggest common factor number is the GCF number.
So the greatest common factor 85686 and 85690 is 2.

Also check out the Least Common Multiple of 85686 and 85690