What is the Greatest Common Factor of 98048 and 98064?

Greatest common factor (GCF) of 98048 and 98064 is 16.

GCF(98048,98064) = 16

We will now calculate the prime factors of 98048 and 98064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98048 and 98064.

How to find the GCF of 98048 and 98064?

We will first find the prime factorization of 98048 and 98064. After we will calculate the factors of 98048 and 98064 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 98064

Prime factors of 98064 are 2, 3, 227. Prime factorization of 98064 in exponential form is:

98064 = 2⁴ × 3³ × 227¹

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 98064

List of positive integer factors of 98064 that divides 98048 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 227, 432, 454, 681, 908, 1362, 1816, 2043, 2724, 3632, 4086, 5448, 6129, 8172, 10896, 12258, 16344, 24516, 32688, 49032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98048 and 98064. The biggest common factor number is the GCF number.
So the greatest common factor 98048 and 98064 is 16.

Also check out the Least Common Multiple of 98048 and 98064