What is the Greatest Common Factor of 85914 and 85918?

Greatest common factor (GCF) of 85914 and 85918 is 2.

GCF(85914,85918) = 2

We will now calculate the prime factors of 85914 and 85918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85914 and 85918.

How to find the GCF of 85914 and 85918?

We will first find the prime factorization of 85914 and 85918. After we will calculate the factors of 85914 and 85918 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 85918

Prime factors of 85918 are 2, 7, 17, 19. Prime factorization of 85918 in exponential form is:

85918 = 2¹ × 7¹ × 17¹ × 19²

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 85918

List of positive integer factors of 85918 that divides 85914 without a remainder.

1, 2, 7, 14, 17, 19, 34, 38, 119, 133, 238, 266, 323, 361, 646, 722, 2261, 2527, 4522, 5054, 6137, 12274, 42959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85914 and 85918. The biggest common factor number is the GCF number.
So the greatest common factor 85914 and 85918 is 2.

Also check out the Least Common Multiple of 85914 and 85918