What is the Greatest Common Factor of 88185 and 88200?

Greatest common factor (GCF) of 88185 and 88200 is 15.

GCF(88185,88200) = 15

We will now calculate the prime factors of 88185 and 88200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88185 and 88200.

How to find the GCF of 88185 and 88200?

We will first find the prime factorization of 88185 and 88200. After we will calculate the factors of 88185 and 88200 and find the biggest common factor number .

Step-1: Prime Factorization of 88185

Prime factors of 88185 are 3, 5, 5879. Prime factorization of 88185 in exponential form is:

88185 = 3¹ × 5¹ × 5879¹

Step-2: 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-3: Factors of 88185

List of positive integer factors of 88185 that divides 88185 without a remainder.

1, 3, 5, 15, 5879, 17637, 29395

Step-4: Factors of 88200

List of positive integer factors of 88200 that divides 88185 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88185 and 88200. The biggest common factor number is the GCF number.
So the greatest common factor 88185 and 88200 is 15.

Also check out the Least Common Multiple of 88185 and 88200