What is the Greatest Common Factor of 87288 and 87300?

Greatest common factor (GCF) of 87288 and 87300 is 12.

GCF(87288,87300) = 12

We will now calculate the prime factors of 87288 and 87300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87288 and 87300.

How to find the GCF of 87288 and 87300?

We will first find the prime factorization of 87288 and 87300. After we will calculate the factors of 87288 and 87300 and find the biggest common factor number .

Step-1: Prime Factorization of 87288

Prime factors of 87288 are 2, 3, 3637. Prime factorization of 87288 in exponential form is:

87288 = 2³ × 3¹ × 3637¹

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 87288

List of positive integer factors of 87288 that divides 87288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3637, 7274, 10911, 14548, 21822, 29096, 43644

Step-4: Factors of 87300

List of positive integer factors of 87300 that divides 87288 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 87288 and 87300. The biggest common factor number is the GCF number.
So the greatest common factor 87288 and 87300 is 12.

Also check out the Least Common Multiple of 87288 and 87300