What is the Greatest Common Factor of 87190 and 87200?

Greatest common factor (GCF) of 87190 and 87200 is 10.

GCF(87190,87200) = 10

We will now calculate the prime factors of 87190 and 87200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87190 and 87200.

How to find the GCF of 87190 and 87200?

We will first find the prime factorization of 87190 and 87200. After we will calculate the factors of 87190 and 87200 and find the biggest common factor number .

Step-1: Prime Factorization of 87190

Prime factors of 87190 are 2, 5, 8719. Prime factorization of 87190 in exponential form is:

87190 = 2¹ × 5¹ × 8719¹

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 87190

List of positive integer factors of 87190 that divides 87190 without a remainder.

1, 2, 5, 10, 8719, 17438, 43595

Step-4: Factors of 87200

List of positive integer factors of 87200 that divides 87190 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 87190 and 87200. The biggest common factor number is the GCF number.
So the greatest common factor 87190 and 87200 is 10.

Also check out the Least Common Multiple of 87190 and 87200