What is the Greatest Common Factor of 86850 and 86865?

Greatest common factor (GCF) of 86850 and 86865 is 15.

GCF(86850,86865) = 15

We will now calculate the prime factors of 86850 and 86865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86850 and 86865.

How to find the GCF of 86850 and 86865?

We will first find the prime factorization of 86850 and 86865. After we will calculate the factors of 86850 and 86865 and find the biggest common factor number .

Step-1: Prime Factorization of 86850

Prime factors of 86850 are 2, 3, 5, 193. Prime factorization of 86850 in exponential form is:

86850 = 2¹ × 3² × 5² × 193¹

Step-2: Prime Factorization of 86865

Prime factors of 86865 are 3, 5, 5791. Prime factorization of 86865 in exponential form is:

86865 = 3¹ × 5¹ × 5791¹

Step-3: Factors of 86850

List of positive integer factors of 86850 that divides 86850 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 193, 225, 386, 450, 579, 965, 1158, 1737, 1930, 2895, 3474, 4825, 5790, 8685, 9650, 14475, 17370, 28950, 43425

Step-4: Factors of 86865

List of positive integer factors of 86865 that divides 86850 without a remainder.

1, 3, 5, 15, 5791, 17373, 28955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86850 and 86865. The biggest common factor number is the GCF number.
So the greatest common factor 86850 and 86865 is 15.

Also check out the Least Common Multiple of 86850 and 86865