What is the Greatest Common Factor of 85914 and 85929?

Greatest common factor (GCF) of 85914 and 85929 is 3.

GCF(85914,85929) = 3

We will now calculate the prime factors of 85914 and 85929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85914 and 85929.

How to find the GCF of 85914 and 85929?

We will first find the prime factorization of 85914 and 85929. After we will calculate the factors of 85914 and 85929 and find the biggest common factor number .

Step-1: Prime Factorization of 85914

Prime factors of 85914 are 2, 3, 37, 43. Prime factorization of 85914 in exponential form is:

85914 = 2¹ × 3³ × 37¹ × 43¹

Step-2: Prime Factorization of 85929

Prime factors of 85929 are 3, 28643. Prime factorization of 85929 in exponential form is:

85929 = 3¹ × 28643¹

Step-3: Factors of 85914

List of positive integer factors of 85914 that divides 85914 without a remainder.

1, 2, 3, 6, 9, 18, 27, 37, 43, 54, 74, 86, 111, 129, 222, 258, 333, 387, 666, 774, 999, 1161, 1591, 1998, 2322, 3182, 4773, 9546, 14319, 28638, 42957

Step-4: Factors of 85929

List of positive integer factors of 85929 that divides 85914 without a remainder.

1, 3, 28643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85914 and 85929. The biggest common factor number is the GCF number.
So the greatest common factor 85914 and 85929 is 3.

Also check out the Least Common Multiple of 85914 and 85929