What is the Greatest Common Factor of 86832 and 86850?

Greatest common factor (GCF) of 86832 and 86850 is 18.

GCF(86832,86850) = 18

We will now calculate the prime factors of 86832 and 86850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86832 and 86850.

How to find the GCF of 86832 and 86850?

We will first find the prime factorization of 86832 and 86850. After we will calculate the factors of 86832 and 86850 and find the biggest common factor number .

Step-1: Prime Factorization of 86832

Prime factors of 86832 are 2, 3, 67. Prime factorization of 86832 in exponential form is:

86832 = 2⁴ × 3⁴ × 67¹

Step-2: 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-3: Factors of 86832

List of positive integer factors of 86832 that divides 86832 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 67, 72, 81, 108, 134, 144, 162, 201, 216, 268, 324, 402, 432, 536, 603, 648, 804, 1072, 1206, 1296, 1608, 1809, 2412, 3216, 3618, 4824, 5427, 7236, 9648, 10854, 14472, 21708, 28944, 43416

Step-4: Factors of 86850

List of positive integer factors of 86850 that divides 86832 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86832 and 86850. The biggest common factor number is the GCF number.
So the greatest common factor 86832 and 86850 is 18.

Also check out the Least Common Multiple of 86832 and 86850