What is the Greatest Common Factor of 87210 and 87226?

Greatest common factor (GCF) of 87210 and 87226 is 2.

GCF(87210,87226) = 2

We will now calculate the prime factors of 87210 and 87226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87210 and 87226.

How to find the GCF of 87210 and 87226?

We will first find the prime factorization of 87210 and 87226. After we will calculate the factors of 87210 and 87226 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 87226

Prime factors of 87226 are 2, 43613. Prime factorization of 87226 in exponential form is:

87226 = 2¹ × 43613¹

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 87226

List of positive integer factors of 87226 that divides 87210 without a remainder.

1, 2, 43613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87210 and 87226. The biggest common factor number is the GCF number.
So the greatest common factor 87210 and 87226 is 2.

Also check out the Least Common Multiple of 87210 and 87226