What is the Greatest Common Factor of 96784 and 96800?

Greatest common factor (GCF) of 96784 and 96800 is 16.

GCF(96784,96800) = 16

We will now calculate the prime factors of 96784 and 96800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96784 and 96800.

How to find the GCF of 96784 and 96800?

We will first find the prime factorization of 96784 and 96800. After we will calculate the factors of 96784 and 96800 and find the biggest common factor number .

Step-1: Prime Factorization of 96784

Prime factors of 96784 are 2, 23, 263. Prime factorization of 96784 in exponential form is:

96784 = 2⁴ × 23¹ × 263¹

Step-2: Prime Factorization of 96800

Prime factors of 96800 are 2, 5, 11. Prime factorization of 96800 in exponential form is:

96800 = 2⁵ × 5² × 11²

Step-3: Factors of 96784

List of positive integer factors of 96784 that divides 96784 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 263, 368, 526, 1052, 2104, 4208, 6049, 12098, 24196, 48392

Step-4: Factors of 96800

List of positive integer factors of 96800 that divides 96784 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 80, 88, 100, 110, 121, 160, 176, 200, 220, 242, 275, 352, 400, 440, 484, 550, 605, 800, 880, 968, 1100, 1210, 1760, 1936, 2200, 2420, 3025, 3872, 4400, 4840, 6050, 8800, 9680, 12100, 19360, 24200, 48400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96784 and 96800. The biggest common factor number is the GCF number.
So the greatest common factor 96784 and 96800 is 16.

Also check out the Least Common Multiple of 96784 and 96800