What is the Greatest Common Factor of 98816 and 98828?

Greatest common factor (GCF) of 98816 and 98828 is 4.

GCF(98816,98828) = 4

We will now calculate the prime factors of 98816 and 98828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98816 and 98828.

How to find the GCF of 98816 and 98828?

We will first find the prime factorization of 98816 and 98828. After we will calculate the factors of 98816 and 98828 and find the biggest common factor number .

Step-1: Prime Factorization of 98816

Prime factors of 98816 are 2, 193. Prime factorization of 98816 in exponential form is:

98816 = 2⁹ × 193¹

Step-2: Prime Factorization of 98828

Prime factors of 98828 are 2, 31, 797. Prime factorization of 98828 in exponential form is:

98828 = 2² × 31¹ × 797¹

Step-3: Factors of 98816

List of positive integer factors of 98816 that divides 98816 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 193, 256, 386, 512, 772, 1544, 3088, 6176, 12352, 24704, 49408

Step-4: Factors of 98828

List of positive integer factors of 98828 that divides 98816 without a remainder.

1, 2, 4, 31, 62, 124, 797, 1594, 3188, 24707, 49414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98816 and 98828. The biggest common factor number is the GCF number.
So the greatest common factor 98816 and 98828 is 4.

Also check out the Least Common Multiple of 98816 and 98828