What is the Greatest Common Factor of 96784 and 96804?

Greatest common factor (GCF) of 96784 and 96804 is 4.

GCF(96784,96804) = 4

We will now calculate the prime factors of 96784 and 96804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96784 and 96804.

How to find the GCF of 96784 and 96804?

We will first find the prime factorization of 96784 and 96804. After we will calculate the factors of 96784 and 96804 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 96804

Prime factors of 96804 are 2, 3, 2689. Prime factorization of 96804 in exponential form is:

96804 = 2² × 3² × 2689¹

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 96804

List of positive integer factors of 96804 that divides 96784 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2689, 5378, 8067, 10756, 16134, 24201, 32268, 48402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96784 and 96804. The biggest common factor number is the GCF number.
So the greatest common factor 96784 and 96804 is 4.

Also check out the Least Common Multiple of 96784 and 96804