What is the Greatest Common Factor of 98784 and 98799?

Greatest common factor (GCF) of 98784 and 98799 is 3.

GCF(98784,98799) = 3

We will now calculate the prime factors of 98784 and 98799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98784 and 98799.

How to find the GCF of 98784 and 98799?

We will first find the prime factorization of 98784 and 98799. After we will calculate the factors of 98784 and 98799 and find the biggest common factor number .

Step-1: Prime Factorization of 98784

Prime factors of 98784 are 2, 3, 7. Prime factorization of 98784 in exponential form is:

98784 = 2⁵ × 3² × 7³

Step-2: Prime Factorization of 98799

Prime factors of 98799 are 3, 32933. Prime factorization of 98799 in exponential form is:

98799 = 3¹ × 32933¹

Step-3: Factors of 98784

List of positive integer factors of 98784 that divides 98784 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 49, 56, 63, 72, 84, 96, 98, 112, 126, 144, 147, 168, 196, 224, 252, 288, 294, 336, 343, 392, 441, 504, 588, 672, 686, 784, 882, 1008, 1029, 1176, 1372, 1568, 1764, 2016, 2058, 2352, 2744, 3087, 3528, 4116, 4704, 5488, 6174, 7056, 8232, 10976, 12348, 14112, 16464, 24696, 32928, 49392

Step-4: Factors of 98799

List of positive integer factors of 98799 that divides 98784 without a remainder.

1, 3, 32933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98784 and 98799. The biggest common factor number is the GCF number.
So the greatest common factor 98784 and 98799 is 3.

Also check out the Least Common Multiple of 98784 and 98799