What is the Greatest Common Factor of 87270 and 87285?

Greatest common factor (GCF) of 87270 and 87285 is 15.

GCF(87270,87285) = 15

We will now calculate the prime factors of 87270 and 87285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87270 and 87285.

How to find the GCF of 87270 and 87285?

We will first find the prime factorization of 87270 and 87285. After we will calculate the factors of 87270 and 87285 and find the biggest common factor number .

Step-1: Prime Factorization of 87270

Prime factors of 87270 are 2, 3, 5, 2909. Prime factorization of 87270 in exponential form is:

87270 = 2¹ × 3¹ × 5¹ × 2909¹

Step-2: Prime Factorization of 87285

Prime factors of 87285 are 3, 5, 11, 23. Prime factorization of 87285 in exponential form is:

87285 = 3¹ × 5¹ × 11¹ × 23²

Step-3: Factors of 87270

List of positive integer factors of 87270 that divides 87270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2909, 5818, 8727, 14545, 17454, 29090, 43635

Step-4: Factors of 87285

List of positive integer factors of 87285 that divides 87270 without a remainder.

1, 3, 5, 11, 15, 23, 33, 55, 69, 115, 165, 253, 345, 529, 759, 1265, 1587, 2645, 3795, 5819, 7935, 17457, 29095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87270 and 87285. The biggest common factor number is the GCF number.
So the greatest common factor 87270 and 87285 is 15.

Also check out the Least Common Multiple of 87270 and 87285