What is the Greatest Common Factor of 86850 and 86868?

Greatest common factor (GCF) of 86850 and 86868 is 18.

GCF(86850,86868) = 18

We will now calculate the prime factors of 86850 and 86868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86850 and 86868.

How to find the GCF of 86850 and 86868?

We will first find the prime factorization of 86850 and 86868. After we will calculate the factors of 86850 and 86868 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 86868

Prime factors of 86868 are 2, 3, 19, 127. Prime factorization of 86868 in exponential form is:

86868 = 2² × 3² × 19¹ × 127¹

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 86868

List of positive integer factors of 86868 that divides 86850 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 127, 171, 228, 254, 342, 381, 508, 684, 762, 1143, 1524, 2286, 2413, 4572, 4826, 7239, 9652, 14478, 21717, 28956, 43434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86850 and 86868. The biggest common factor number is the GCF number.
So the greatest common factor 86850 and 86868 is 18.

Also check out the Least Common Multiple of 86850 and 86868