What is the Greatest Common Factor of 88200 and 88209?

Greatest common factor (GCF) of 88200 and 88209 is 9.

GCF(88200,88209) = 9

We will now calculate the prime factors of 88200 and 88209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88200 and 88209.

How to find the GCF of 88200 and 88209?

We will first find the prime factorization of 88200 and 88209. After we will calculate the factors of 88200 and 88209 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 88209

Prime factors of 88209 are 3, 11. Prime factorization of 88209 in exponential form is:

88209 = 3⁶ × 11²

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 88209

List of positive integer factors of 88209 that divides 88200 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 121, 243, 297, 363, 729, 891, 1089, 2673, 3267, 8019, 9801, 29403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88200 and 88209. The biggest common factor number is the GCF number.
So the greatest common factor 88200 and 88209 is 9.

Also check out the Least Common Multiple of 88200 and 88209