What is the Greatest Common Factor of 88200 and 88210?

Greatest common factor (GCF) of 88200 and 88210 is 10.

GCF(88200,88210) = 10

We will now calculate the prime factors of 88200 and 88210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88200 and 88210.

How to find the GCF of 88200 and 88210?

We will first find the prime factorization of 88200 and 88210. After we will calculate the factors of 88200 and 88210 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 88210

Prime factors of 88210 are 2, 5, 8821. Prime factorization of 88210 in exponential form is:

88210 = 2¹ × 5¹ × 8821¹

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 88210

List of positive integer factors of 88210 that divides 88200 without a remainder.

1, 2, 5, 10, 8821, 17642, 44105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88200 and 88210. The biggest common factor number is the GCF number.
So the greatest common factor 88200 and 88210 is 10.

Also check out the Least Common Multiple of 88200 and 88210