What is the Greatest Common Factor of 87180 and 87200?

Greatest common factor (GCF) of 87180 and 87200 is 20.

GCF(87180,87200) = 20

We will now calculate the prime factors of 87180 and 87200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87180 and 87200.

How to find the GCF of 87180 and 87200?

We will first find the prime factorization of 87180 and 87200. After we will calculate the factors of 87180 and 87200 and find the biggest common factor number .

Step-1: Prime Factorization of 87180

Prime factors of 87180 are 2, 3, 5, 1453. Prime factorization of 87180 in exponential form is:

87180 = 2² × 3¹ × 5¹ × 1453¹

Step-2: Prime Factorization of 87200

Prime factors of 87200 are 2, 5, 109. Prime factorization of 87200 in exponential form is:

87200 = 2⁵ × 5² × 109¹

Step-3: Factors of 87180

List of positive integer factors of 87180 that divides 87180 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1453, 2906, 4359, 5812, 7265, 8718, 14530, 17436, 21795, 29060, 43590

Step-4: Factors of 87200

List of positive integer factors of 87200 that divides 87180 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 109, 160, 200, 218, 400, 436, 545, 800, 872, 1090, 1744, 2180, 2725, 3488, 4360, 5450, 8720, 10900, 17440, 21800, 43600

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87180 and 87200. The biggest common factor number is the GCF number.
So the greatest common factor 87180 and 87200 is 20.

Also check out the Least Common Multiple of 87180 and 87200