What is the Greatest Common Factor of 86834 and 86850?

Greatest common factor (GCF) of 86834 and 86850 is 2.

GCF(86834,86850) = 2

We will now calculate the prime factors of 86834 and 86850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86834 and 86850.

How to find the GCF of 86834 and 86850?

We will first find the prime factorization of 86834 and 86850. After we will calculate the factors of 86834 and 86850 and find the biggest common factor number .

Step-1: Prime Factorization of 86834

Prime factors of 86834 are 2, 11, 3947. Prime factorization of 86834 in exponential form is:

86834 = 2¹ × 11¹ × 3947¹

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 86834

List of positive integer factors of 86834 that divides 86834 without a remainder.

1, 2, 11, 22, 3947, 7894, 43417

Step-4: Factors of 86850

List of positive integer factors of 86850 that divides 86834 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 86834 and 86850. The biggest common factor number is the GCF number.
So the greatest common factor 86834 and 86850 is 2.

Also check out the Least Common Multiple of 86834 and 86850