What is the Greatest Common Factor of 87012 and 87024?

Greatest common factor (GCF) of 87012 and 87024 is 12.

GCF(87012,87024) = 12

We will now calculate the prime factors of 87012 and 87024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87012 and 87024.

How to find the GCF of 87012 and 87024?

We will first find the prime factorization of 87012 and 87024. After we will calculate the factors of 87012 and 87024 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 87024

Prime factors of 87024 are 2, 3, 7, 37. Prime factorization of 87024 in exponential form is:

87024 = 2⁴ × 3¹ × 7² × 37¹

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 87024

List of positive integer factors of 87024 that divides 87012 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 37, 42, 48, 49, 56, 74, 84, 98, 111, 112, 147, 148, 168, 196, 222, 259, 294, 296, 336, 392, 444, 518, 588, 592, 777, 784, 888, 1036, 1176, 1554, 1776, 1813, 2072, 2352, 3108, 3626, 4144, 5439, 6216, 7252, 10878, 12432, 14504, 21756, 29008, 43512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87012 and 87024. The biggest common factor number is the GCF number.
So the greatest common factor 87012 and 87024 is 12.

Also check out the Least Common Multiple of 87012 and 87024