What is the Greatest Common Factor of 98048 and 98053?

Greatest common factor (GCF) of 98048 and 98053 is 1.

GCF(98048,98053) = 1

We will now calculate the prime factors of 98048 and 98053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98048 and 98053.

How to find the GCF of 98048 and 98053?

We will first find the prime factorization of 98048 and 98053. After we will calculate the factors of 98048 and 98053 and find the biggest common factor number .

Step-1: Prime Factorization of 98048

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

98048 = 2⁸ × 383¹

Step-2: Prime Factorization of 98053

Prime factors of 98053 are 31, 3163. Prime factorization of 98053 in exponential form is:

98053 = 31¹ × 3163¹

Step-3: Factors of 98048

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

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

Step-4: Factors of 98053

List of positive integer factors of 98053 that divides 98048 without a remainder.

1, 31, 3163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98048 and 98053. The biggest common factor number is the GCF number.
So the greatest common factor 98048 and 98053 is 1.

Also check out the Least Common Multiple of 98048 and 98053