What is the Greatest Common Factor of 85686 and 85704?

Greatest common factor (GCF) of 85686 and 85704 is 6.

GCF(85686,85704) = 6

We will now calculate the prime factors of 85686 and 85704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85686 and 85704.

How to find the GCF of 85686 and 85704?

We will first find the prime factorization of 85686 and 85704. After we will calculate the factors of 85686 and 85704 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 85704

Prime factors of 85704 are 2, 3, 3571. Prime factorization of 85704 in exponential form is:

85704 = 2³ × 3¹ × 3571¹

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 85704

List of positive integer factors of 85704 that divides 85686 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3571, 7142, 10713, 14284, 21426, 28568, 42852

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85686 and 85704. The biggest common factor number is the GCF number.
So the greatest common factor 85686 and 85704 is 6.

Also check out the Least Common Multiple of 85686 and 85704