What is the Greatest Common Factor of 85839 and 85854?

Greatest common factor (GCF) of 85839 and 85854 is 3.

GCF(85839,85854) = 3

We will now calculate the prime factors of 85839 and 85854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85839 and 85854.

How to find the GCF of 85839 and 85854?

We will first find the prime factorization of 85839 and 85854. After we will calculate the factors of 85839 and 85854 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 85854

Prime factors of 85854 are 2, 3, 41, 349. Prime factorization of 85854 in exponential form is:

85854 = 2¹ × 3¹ × 41¹ × 349¹

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 85854

List of positive integer factors of 85854 that divides 85839 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 349, 698, 1047, 2094, 14309, 28618, 42927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85839 and 85854. The biggest common factor number is the GCF number.
So the greatest common factor 85839 and 85854 is 3.

Also check out the Least Common Multiple of 85839 and 85854