What is the Greatest Common Factor of 98816 and 98832?

Greatest common factor (GCF) of 98816 and 98832 is 16.

GCF(98816,98832) = 16

We will now calculate the prime factors of 98816 and 98832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98816 and 98832.

How to find the GCF of 98816 and 98832?

We will first find the prime factorization of 98816 and 98832. After we will calculate the factors of 98816 and 98832 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 98832

Prime factors of 98832 are 2, 3, 29, 71. Prime factorization of 98832 in exponential form is:

98832 = 2⁴ × 3¹ × 29¹ × 71¹

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 98832

List of positive integer factors of 98832 that divides 98816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 71, 87, 116, 142, 174, 213, 232, 284, 348, 426, 464, 568, 696, 852, 1136, 1392, 1704, 2059, 3408, 4118, 6177, 8236, 12354, 16472, 24708, 32944, 49416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98816 and 98832. The biggest common factor number is the GCF number.
So the greatest common factor 98816 and 98832 is 16.

Also check out the Least Common Multiple of 98816 and 98832