What is the Greatest Common Factor of 96200 and 96216?

Greatest common factor (GCF) of 96200 and 96216 is 8.

GCF(96200,96216) = 8

We will now calculate the prime factors of 96200 and 96216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96200 and 96216.

How to find the GCF of 96200 and 96216?

We will first find the prime factorization of 96200 and 96216. After we will calculate the factors of 96200 and 96216 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 96216

Prime factors of 96216 are 2, 3, 19, 211. Prime factorization of 96216 in exponential form is:

96216 = 2³ × 3¹ × 19¹ × 211¹

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 96216

List of positive integer factors of 96216 that divides 96200 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 211, 228, 422, 456, 633, 844, 1266, 1688, 2532, 4009, 5064, 8018, 12027, 16036, 24054, 32072, 48108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96200 and 96216. The biggest common factor number is the GCF number.
So the greatest common factor 96200 and 96216 is 8.

Also check out the Least Common Multiple of 96200 and 96216