What is the Greatest Common Factor of 87144 and 87156?

Greatest common factor (GCF) of 87144 and 87156 is 12.

GCF(87144,87156) = 12

We will now calculate the prime factors of 87144 and 87156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87144 and 87156.

How to find the GCF of 87144 and 87156?

We will first find the prime factorization of 87144 and 87156. After we will calculate the factors of 87144 and 87156 and find the biggest common factor number .

Step-1: Prime Factorization of 87144

Prime factors of 87144 are 2, 3, 3631. Prime factorization of 87144 in exponential form is:

87144 = 2³ × 3¹ × 3631¹

Step-2: Prime Factorization of 87156

Prime factors of 87156 are 2, 3, 269. Prime factorization of 87156 in exponential form is:

87156 = 2² × 3⁴ × 269¹

Step-3: Factors of 87144

List of positive integer factors of 87144 that divides 87144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3631, 7262, 10893, 14524, 21786, 29048, 43572

Step-4: Factors of 87156

List of positive integer factors of 87156 that divides 87144 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 269, 324, 538, 807, 1076, 1614, 2421, 3228, 4842, 7263, 9684, 14526, 21789, 29052, 43578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87144 and 87156. The biggest common factor number is the GCF number.
So the greatest common factor 87144 and 87156 is 12.

Also check out the Least Common Multiple of 87144 and 87156