What is the Greatest Common Factor of 98032 and 98048?

Greatest common factor (GCF) of 98032 and 98048 is 16.

GCF(98032,98048) = 16

We will now calculate the prime factors of 98032 and 98048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98032 and 98048.

How to find the GCF of 98032 and 98048?

We will first find the prime factorization of 98032 and 98048. After we will calculate the factors of 98032 and 98048 and find the biggest common factor number .

Step-1: Prime Factorization of 98032

Prime factors of 98032 are 2, 11, 557. Prime factorization of 98032 in exponential form is:

98032 = 2⁴ × 11¹ × 557¹

Step-2: Prime Factorization of 98048

Prime factors of 98048 are 2, 383. Prime factorization of 98048 in exponential form is:

98048 = 2⁸ × 383¹

Step-3: Factors of 98032

List of positive integer factors of 98032 that divides 98032 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 557, 1114, 2228, 4456, 6127, 8912, 12254, 24508, 49016

Step-4: Factors of 98048

List of positive integer factors of 98048 that divides 98032 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 383, 766, 1532, 3064, 6128, 12256, 24512, 49024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98032 and 98048. The biggest common factor number is the GCF number.
So the greatest common factor 98032 and 98048 is 16.

Also check out the Least Common Multiple of 98032 and 98048