What is the Greatest Common Factor of 87282 and 87300?

Greatest common factor (GCF) of 87282 and 87300 is 18.

GCF(87282,87300) = 18

We will now calculate the prime factors of 87282 and 87300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87282 and 87300.

How to find the GCF of 87282 and 87300?

We will first find the prime factorization of 87282 and 87300. After we will calculate the factors of 87282 and 87300 and find the biggest common factor number .

Step-1: Prime Factorization of 87282

Prime factors of 87282 are 2, 3, 13, 373. Prime factorization of 87282 in exponential form is:

87282 = 2¹ × 3² × 13¹ × 373¹

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 87282

List of positive integer factors of 87282 that divides 87282 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 373, 746, 1119, 2238, 3357, 4849, 6714, 9698, 14547, 29094, 43641

Step-4: Factors of 87300

List of positive integer factors of 87300 that divides 87282 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 87282 and 87300. The biggest common factor number is the GCF number.
So the greatest common factor 87282 and 87300 is 18.

Also check out the Least Common Multiple of 87282 and 87300