What is the Greatest Common Factor of 96200 and 96213?

Greatest common factor (GCF) of 96200 and 96213 is 13.

GCF(96200,96213) = 13

We will now calculate the prime factors of 96200 and 96213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96200 and 96213.

How to find the GCF of 96200 and 96213?

We will first find the prime factorization of 96200 and 96213. After we will calculate the factors of 96200 and 96213 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 96213

Prime factors of 96213 are 3, 13, 2467. Prime factorization of 96213 in exponential form is:

96213 = 3¹ × 13¹ × 2467¹

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 96213

List of positive integer factors of 96213 that divides 96200 without a remainder.

1, 3, 13, 39, 2467, 7401, 32071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96200 and 96213. The biggest common factor number is the GCF number.
So the greatest common factor 96200 and 96213 is 13.

Also check out the Least Common Multiple of 96200 and 96213