What is the Greatest Common Factor of 87225 and 87240?

Greatest common factor (GCF) of 87225 and 87240 is 15.

GCF(87225,87240) = 15

We will now calculate the prime factors of 87225 and 87240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87225 and 87240.

How to find the GCF of 87225 and 87240?

We will first find the prime factorization of 87225 and 87240. After we will calculate the factors of 87225 and 87240 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 87225

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

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

Step-4: Factors of 87240

List of positive integer factors of 87240 that divides 87225 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87225 and 87240. The biggest common factor number is the GCF number.
So the greatest common factor 87225 and 87240 is 15.

Also check out the Least Common Multiple of 87225 and 87240