What is the Greatest Common Factor of 96200 and 96209?

Greatest common factor (GCF) of 96200 and 96209 is 1.

GCF(96200,96209) = 1

We will now calculate the prime factors of 96200 and 96209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96200 and 96209.

How to find the GCF of 96200 and 96209?

We will first find the prime factorization of 96200 and 96209. After we will calculate the factors of 96200 and 96209 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 96209

Prime factors of 96209 are 23, 47, 89. Prime factorization of 96209 in exponential form is:

96209 = 23¹ × 47¹ × 89¹

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 96209

List of positive integer factors of 96209 that divides 96200 without a remainder.

1, 23, 47, 89, 1081, 2047, 4183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96200 and 96209. The biggest common factor number is the GCF number.
So the greatest common factor 96200 and 96209 is 1.

Also check out the Least Common Multiple of 96200 and 96209