What is the Greatest Common Factor of 87156 and 87174?

Greatest common factor (GCF) of 87156 and 87174 is 18.

GCF(87156,87174) = 18

We will now calculate the prime factors of 87156 and 87174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87156 and 87174.

How to find the GCF of 87156 and 87174?

We will first find the prime factorization of 87156 and 87174. After we will calculate the factors of 87156 and 87174 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87174

Prime factors of 87174 are 2, 3, 29, 167. Prime factorization of 87174 in exponential form is:

87174 = 2¹ × 3² × 29¹ × 167¹

Step-3: Factors of 87156

List of positive integer factors of 87156 that divides 87156 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

Step-4: Factors of 87174

List of positive integer factors of 87174 that divides 87156 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 167, 174, 261, 334, 501, 522, 1002, 1503, 3006, 4843, 9686, 14529, 29058, 43587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87156 and 87174. The biggest common factor number is the GCF number.
So the greatest common factor 87156 and 87174 is 18.

Also check out the Least Common Multiple of 87156 and 87174