What is the Greatest Common Factor of 87210 and 87225?

Greatest common factor (GCF) of 87210 and 87225 is 15.

GCF(87210,87225) = 15

We will now calculate the prime factors of 87210 and 87225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87210 and 87225.

How to find the GCF of 87210 and 87225?

We will first find the prime factorization of 87210 and 87225. After we will calculate the factors of 87210 and 87225 and find the biggest common factor number .

Step-1: Prime Factorization of 87210

Prime factors of 87210 are 2, 3, 5, 17, 19. Prime factorization of 87210 in exponential form is:

87210 = 2¹ × 3³ × 5¹ × 17¹ × 19¹

Step-2: Prime Factorization of 87225

Prime factors of 87225 are 3, 5, 1163. Prime factorization of 87225 in exponential form is:

87225 = 3¹ × 5² × 1163¹

Step-3: Factors of 87210

List of positive integer factors of 87210 that divides 87210 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 19, 27, 30, 34, 38, 45, 51, 54, 57, 85, 90, 95, 102, 114, 135, 153, 170, 171, 190, 255, 270, 285, 306, 323, 342, 459, 510, 513, 570, 646, 765, 855, 918, 969, 1026, 1530, 1615, 1710, 1938, 2295, 2565, 2907, 3230, 4590, 4845, 5130, 5814, 8721, 9690, 14535, 17442, 29070, 43605

Step-4: Factors of 87225

List of positive integer factors of 87225 that divides 87210 without a remainder.

1, 3, 5, 15, 25, 75, 1163, 3489, 5815, 17445, 29075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87210 and 87225. The biggest common factor number is the GCF number.
So the greatest common factor 87210 and 87225 is 15.

Also check out the Least Common Multiple of 87210 and 87225