What is the Greatest Common Factor of 87285 and 87300?

Greatest common factor (GCF) of 87285 and 87300 is 15.

GCF(87285,87300) = 15

We will now calculate the prime factors of 87285 and 87300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87285 and 87300.

How to find the GCF of 87285 and 87300?

We will first find the prime factorization of 87285 and 87300. After we will calculate the factors of 87285 and 87300 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87300

Prime factors of 87300 are 2, 3, 5, 97. Prime factorization of 87300 in exponential form is:

87300 = 2² × 3² × 5² × 97¹

Step-3: Factors of 87285

List of positive integer factors of 87285 that divides 87285 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

Step-4: Factors of 87300

List of positive integer factors of 87300 that divides 87285 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 97, 100, 150, 180, 194, 225, 291, 300, 388, 450, 485, 582, 873, 900, 970, 1164, 1455, 1746, 1940, 2425, 2910, 3492, 4365, 4850, 5820, 7275, 8730, 9700, 14550, 17460, 21825, 29100, 43650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87285 and 87300. The biggest common factor number is the GCF number.
So the greatest common factor 87285 and 87300 is 15.

Also check out the Least Common Multiple of 87285 and 87300