What is the Greatest Common Factor of 88200 and 88215?

Greatest common factor (GCF) of 88200 and 88215 is 15.

GCF(88200,88215) = 15

We will now calculate the prime factors of 88200 and 88215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88200 and 88215.

How to find the GCF of 88200 and 88215?

We will first find the prime factorization of 88200 and 88215. After we will calculate the factors of 88200 and 88215 and find the biggest common factor number .

Step-1: Prime Factorization of 88200

Prime factors of 88200 are 2, 3, 5, 7. Prime factorization of 88200 in exponential form is:

88200 = 2³ × 3² × 5² × 7²

Step-2: Prime Factorization of 88215

Prime factors of 88215 are 3, 5, 5881. Prime factorization of 88215 in exponential form is:

88215 = 3¹ × 5¹ × 5881¹

Step-3: Factors of 88200

List of positive integer factors of 88200 that divides 88200 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 25, 28, 30, 35, 36, 40, 42, 45, 49, 50, 56, 60, 63, 70, 72, 75, 84, 90, 98, 100, 105, 120, 126, 140, 147, 150, 168, 175, 180, 196, 200, 210, 225, 245, 252, 280, 294, 300, 315, 350, 360, 392, 420, 441, 450, 490, 504, 525, 588, 600, 630, 700, 735, 840, 882, 900, 980, 1050, 1176, 1225, 1260, 1400, 1470, 1575, 1764, 1800, 1960, 2100, 2205, 2450, 2520, 2940, 3150, 3528, 3675, 4200, 4410, 4900, 5880, 6300, 7350, 8820, 9800, 11025, 12600, 14700, 17640, 22050, 29400, 44100

Step-4: Factors of 88215

List of positive integer factors of 88215 that divides 88200 without a remainder.

1, 3, 5, 15, 5881, 17643, 29405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88200 and 88215. The biggest common factor number is the GCF number.
So the greatest common factor 88200 and 88215 is 15.

Also check out the Least Common Multiple of 88200 and 88215