What is the Greatest Common Factor of 98784 and 98788?

Greatest common factor (GCF) of 98784 and 98788 is 4.

GCF(98784,98788) = 4

We will now calculate the prime factors of 98784 and 98788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98784 and 98788.

How to find the GCF of 98784 and 98788?

We will first find the prime factorization of 98784 and 98788. After we will calculate the factors of 98784 and 98788 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 98788

Prime factors of 98788 are 2, 24697. Prime factorization of 98788 in exponential form is:

98788 = 2² × 24697¹

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 98788

List of positive integer factors of 98788 that divides 98784 without a remainder.

1, 2, 4, 24697, 49394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98784 and 98788. The biggest common factor number is the GCF number.
So the greatest common factor 98784 and 98788 is 4.

Also check out the Least Common Multiple of 98784 and 98788