What is the Greatest Common Factor of 96200 and 96205?

Greatest common factor (GCF) of 96200 and 96205 is 5.

GCF(96200,96205) = 5

We will now calculate the prime factors of 96200 and 96205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96200 and 96205.

How to find the GCF of 96200 and 96205?

We will first find the prime factorization of 96200 and 96205. After we will calculate the factors of 96200 and 96205 and find the biggest common factor number .

Step-1: Prime Factorization of 96200

Prime factors of 96200 are 2, 5, 13, 37. Prime factorization of 96200 in exponential form is:

96200 = 2³ × 5² × 13¹ × 37¹

Step-2: Prime Factorization of 96205

Prime factors of 96205 are 5, 71, 271. Prime factorization of 96205 in exponential form is:

96205 = 5¹ × 71¹ × 271¹

Step-3: Factors of 96200

List of positive integer factors of 96200 that divides 96200 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 37, 40, 50, 52, 65, 74, 100, 104, 130, 148, 185, 200, 260, 296, 325, 370, 481, 520, 650, 740, 925, 962, 1300, 1480, 1850, 1924, 2405, 2600, 3700, 3848, 4810, 7400, 9620, 12025, 19240, 24050, 48100

Step-4: Factors of 96205

List of positive integer factors of 96205 that divides 96200 without a remainder.

1, 5, 71, 271, 355, 1355, 19241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96200 and 96205. The biggest common factor number is the GCF number.
So the greatest common factor 96200 and 96205 is 5.

Also check out the Least Common Multiple of 96200 and 96205