What is the Greatest Common Factor of 87240 and 87255?

Greatest common factor (GCF) of 87240 and 87255 is 15.

GCF(87240,87255) = 15

We will now calculate the prime factors of 87240 and 87255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87240 and 87255.

How to find the GCF of 87240 and 87255?

We will first find the prime factorization of 87240 and 87255. After we will calculate the factors of 87240 and 87255 and find the biggest common factor number .

Step-1: Prime Factorization of 87240

Prime factors of 87240 are 2, 3, 5, 727. Prime factorization of 87240 in exponential form is:

87240 = 2³ × 3¹ × 5¹ × 727¹

Step-2: Prime Factorization of 87255

Prime factors of 87255 are 3, 5, 7, 277. Prime factorization of 87255 in exponential form is:

87255 = 3² × 5¹ × 7¹ × 277¹

Step-3: Factors of 87240

List of positive integer factors of 87240 that divides 87240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 727, 1454, 2181, 2908, 3635, 4362, 5816, 7270, 8724, 10905, 14540, 17448, 21810, 29080, 43620

Step-4: Factors of 87255

List of positive integer factors of 87255 that divides 87240 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 277, 315, 831, 1385, 1939, 2493, 4155, 5817, 9695, 12465, 17451, 29085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87240 and 87255. The biggest common factor number is the GCF number.
So the greatest common factor 87240 and 87255 is 15.

Also check out the Least Common Multiple of 87240 and 87255