What is the Greatest Common Factor of 85839 and 85857?

Greatest common factor (GCF) of 85839 and 85857 is 3.

GCF(85839,85857) = 3

We will now calculate the prime factors of 85839 and 85857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85839 and 85857.

How to find the GCF of 85839 and 85857?

We will first find the prime factorization of 85839 and 85857. After we will calculate the factors of 85839 and 85857 and find the biggest common factor number .

Step-1: Prime Factorization of 85839

Prime factors of 85839 are 3, 13, 31, 71. Prime factorization of 85839 in exponential form is:

85839 = 3¹ × 13¹ × 31¹ × 71¹

Step-2: Prime Factorization of 85857

Prime factors of 85857 are 3, 28619. Prime factorization of 85857 in exponential form is:

85857 = 3¹ × 28619¹

Step-3: Factors of 85839

List of positive integer factors of 85839 that divides 85839 without a remainder.

1, 3, 13, 31, 39, 71, 93, 213, 403, 923, 1209, 2201, 2769, 6603, 28613

Step-4: Factors of 85857

List of positive integer factors of 85857 that divides 85839 without a remainder.

1, 3, 28619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85839 and 85857. The biggest common factor number is the GCF number.
So the greatest common factor 85839 and 85857 is 3.

Also check out the Least Common Multiple of 85839 and 85857