What is the Greatest Common Factor of 98832 and 98844?

Greatest common factor (GCF) of 98832 and 98844 is 12.

GCF(98832,98844) = 12

We will now calculate the prime factors of 98832 and 98844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98832 and 98844.

How to find the GCF of 98832 and 98844?

We will first find the prime factorization of 98832 and 98844. After we will calculate the factors of 98832 and 98844 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98844

Prime factors of 98844 are 2, 3, 8237. Prime factorization of 98844 in exponential form is:

98844 = 2² × 3¹ × 8237¹

Step-3: Factors of 98832

List of positive integer factors of 98832 that divides 98832 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

Step-4: Factors of 98844

List of positive integer factors of 98844 that divides 98832 without a remainder.

1, 2, 3, 4, 6, 12, 8237, 16474, 24711, 32948, 49422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98832 and 98844. The biggest common factor number is the GCF number.
So the greatest common factor 98832 and 98844 is 12.

Also check out the Least Common Multiple of 98832 and 98844