What is the Greatest Common Factor of 52200 and 52205?

Greatest common factor (GCF) of 52200 and 52205 is 5.

GCF(52200,52205) = 5

We will now calculate the prime factors of 52200 and 52205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52200 and 52205.

How to find the GCF of 52200 and 52205?

We will first find the prime factorization of 52200 and 52205. After we will calculate the factors of 52200 and 52205 and find the biggest common factor number .

Step-1: Prime Factorization of 52200

Prime factors of 52200 are 2, 3, 5, 29. Prime factorization of 52200 in exponential form is:

52200 = 2³ × 3² × 5² × 29¹

Step-2: Prime Factorization of 52205

Prime factors of 52205 are 5, 53, 197. Prime factorization of 52205 in exponential form is:

52205 = 5¹ × 53¹ × 197¹

Step-3: Factors of 52200

List of positive integer factors of 52200 that divides 52200 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 29, 30, 36, 40, 45, 50, 58, 60, 72, 75, 87, 90, 100, 116, 120, 145, 150, 174, 180, 200, 225, 232, 261, 290, 300, 348, 360, 435, 450, 522, 580, 600, 696, 725, 870, 900, 1044, 1160, 1305, 1450, 1740, 1800, 2088, 2175, 2610, 2900, 3480, 4350, 5220, 5800, 6525, 8700, 10440, 13050, 17400, 26100

Step-4: Factors of 52205

List of positive integer factors of 52205 that divides 52200 without a remainder.

1, 5, 53, 197, 265, 985, 10441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52200 and 52205. The biggest common factor number is the GCF number.
So the greatest common factor 52200 and 52205 is 5.

Also check out the Least Common Multiple of 52200 and 52205