What is the Greatest Common Factor of 85914 and 85920?

Greatest common factor (GCF) of 85914 and 85920 is 6.

GCF(85914,85920) = 6

We will now calculate the prime factors of 85914 and 85920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85914 and 85920.

How to find the GCF of 85914 and 85920?

We will first find the prime factorization of 85914 and 85920. After we will calculate the factors of 85914 and 85920 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 85920

Prime factors of 85920 are 2, 3, 5, 179. Prime factorization of 85920 in exponential form is:

85920 = 2⁵ × 3¹ × 5¹ × 179¹

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 85920

List of positive integer factors of 85920 that divides 85914 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 179, 240, 358, 480, 537, 716, 895, 1074, 1432, 1790, 2148, 2685, 2864, 3580, 4296, 5370, 5728, 7160, 8592, 10740, 14320, 17184, 21480, 28640, 42960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85914 and 85920. The biggest common factor number is the GCF number.
So the greatest common factor 85914 and 85920 is 6.

Also check out the Least Common Multiple of 85914 and 85920