What is the Greatest Common Factor of 85896 and 85914?

Greatest common factor (GCF) of 85896 and 85914 is 18.

GCF(85896,85914) = 18

We will now calculate the prime factors of 85896 and 85914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85896 and 85914.

How to find the GCF of 85896 and 85914?

We will first find the prime factorization of 85896 and 85914. After we will calculate the factors of 85896 and 85914 and find the biggest common factor number .

Step-1: Prime Factorization of 85896

Prime factors of 85896 are 2, 3, 1193. Prime factorization of 85896 in exponential form is:

85896 = 2³ × 3² × 1193¹

Step-2: 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-3: Factors of 85896

List of positive integer factors of 85896 that divides 85896 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1193, 2386, 3579, 4772, 7158, 9544, 10737, 14316, 21474, 28632, 42948

Step-4: Factors of 85914

List of positive integer factors of 85914 that divides 85896 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85896 and 85914. The biggest common factor number is the GCF number.
So the greatest common factor 85896 and 85914 is 18.

Also check out the Least Common Multiple of 85896 and 85914