What is the Greatest Common Factor of 87185 and 87200?

Greatest common factor (GCF) of 87185 and 87200 is 5.

GCF(87185,87200) = 5

We will now calculate the prime factors of 87185 and 87200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87185 and 87200.

How to find the GCF of 87185 and 87200?

We will first find the prime factorization of 87185 and 87200. After we will calculate the factors of 87185 and 87200 and find the biggest common factor number .

Step-1: Prime Factorization of 87185

Prime factors of 87185 are 5, 7, 47, 53. Prime factorization of 87185 in exponential form is:

87185 = 5¹ × 7¹ × 47¹ × 53¹

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 87185

List of positive integer factors of 87185 that divides 87185 without a remainder.

1, 5, 7, 35, 47, 53, 235, 265, 329, 371, 1645, 1855, 2491, 12455, 17437

Step-4: Factors of 87200

List of positive integer factors of 87200 that divides 87185 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 87185 and 87200. The biggest common factor number is the GCF number.
So the greatest common factor 87185 and 87200 is 5.

Also check out the Least Common Multiple of 87185 and 87200