What is the Greatest Common Factor of 87156 and 87164?

Greatest common factor (GCF) of 87156 and 87164 is 4.

GCF(87156,87164) = 4

We will now calculate the prime factors of 87156 and 87164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87156 and 87164.

How to find the GCF of 87156 and 87164?

We will first find the prime factorization of 87156 and 87164. After we will calculate the factors of 87156 and 87164 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 87164

Prime factors of 87164 are 2, 7, 11, 283. Prime factorization of 87164 in exponential form is:

87164 = 2² × 7¹ × 11¹ × 283¹

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 87164

List of positive integer factors of 87164 that divides 87156 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 283, 308, 566, 1132, 1981, 3113, 3962, 6226, 7924, 12452, 21791, 43582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87156 and 87164. The biggest common factor number is the GCF number.
So the greatest common factor 87156 and 87164 is 4.

Also check out the Least Common Multiple of 87156 and 87164