What is the Greatest Common Factor of 86994 and 87012?

Greatest common factor (GCF) of 86994 and 87012 is 18.

GCF(86994,87012) = 18

We will now calculate the prime factors of 86994 and 87012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86994 and 87012.

How to find the GCF of 86994 and 87012?

We will first find the prime factorization of 86994 and 87012. After we will calculate the factors of 86994 and 87012 and find the biggest common factor number .

Step-1: Prime Factorization of 86994

Prime factors of 86994 are 2, 3, 179. Prime factorization of 86994 in exponential form is:

86994 = 2¹ × 3⁵ × 179¹

Step-2: Prime Factorization of 87012

Prime factors of 87012 are 2, 3, 2417. Prime factorization of 87012 in exponential form is:

87012 = 2² × 3² × 2417¹

Step-3: Factors of 86994

List of positive integer factors of 86994 that divides 86994 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 179, 243, 358, 486, 537, 1074, 1611, 3222, 4833, 9666, 14499, 28998, 43497

Step-4: Factors of 87012

List of positive integer factors of 87012 that divides 86994 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2417, 4834, 7251, 9668, 14502, 21753, 29004, 43506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86994 and 87012. The biggest common factor number is the GCF number.
So the greatest common factor 86994 and 87012 is 18.

Also check out the Least Common Multiple of 86994 and 87012