What is the Greatest Common Factor of 87012 and 87030?

Greatest common factor (GCF) of 87012 and 87030 is 18.

GCF(87012,87030) = 18

We will now calculate the prime factors of 87012 and 87030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87012 and 87030.

How to find the GCF of 87012 and 87030?

We will first find the prime factorization of 87012 and 87030. After we will calculate the factors of 87012 and 87030 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87030

Prime factors of 87030 are 2, 3, 5, 967. Prime factorization of 87030 in exponential form is:

87030 = 2¹ × 3² × 5¹ × 967¹

Step-3: Factors of 87012

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

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

Step-4: Factors of 87030

List of positive integer factors of 87030 that divides 87012 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 967, 1934, 2901, 4835, 5802, 8703, 9670, 14505, 17406, 29010, 43515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87012 and 87030. The biggest common factor number is the GCF number.
So the greatest common factor 87012 and 87030 is 18.

Also check out the Least Common Multiple of 87012 and 87030