What is the Greatest Common Factor of 98832 and 98848?

Greatest common factor (GCF) of 98832 and 98848 is 16.

GCF(98832,98848) = 16

We will now calculate the prime factors of 98832 and 98848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98832 and 98848.

How to find the GCF of 98832 and 98848?

We will first find the prime factorization of 98832 and 98848. After we will calculate the factors of 98832 and 98848 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 98848

Prime factors of 98848 are 2, 3089. Prime factorization of 98848 in exponential form is:

98848 = 2⁵ × 3089¹

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 98848

List of positive integer factors of 98848 that divides 98832 without a remainder.

1, 2, 4, 8, 16, 32, 3089, 6178, 12356, 24712, 49424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98832 and 98848. The biggest common factor number is the GCF number.
So the greatest common factor 98832 and 98848 is 16.

Also check out the Least Common Multiple of 98832 and 98848