What is the Greatest Common Factor of 96200 and 96211?

Greatest common factor (GCF) of 96200 and 96211 is 1.

GCF(96200,96211) = 1

We will now calculate the prime factors of 96200 and 96211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96200 and 96211.

How to find the GCF of 96200 and 96211?

We will first find the prime factorization of 96200 and 96211. After we will calculate the factors of 96200 and 96211 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 96211

Prime factors of 96211 are 96211. Prime factorization of 96211 in exponential form is:

96211 = 96211¹

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 96211

List of positive integer factors of 96211 that divides 96200 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96200 and 96211. The biggest common factor number is the GCF number.
So the greatest common factor 96200 and 96211 is 1.

Also check out the Least Common Multiple of 96200 and 96211