What is the Greatest Common Factor of 98148 and 98163?

Greatest common factor (GCF) of 98148 and 98163 is 3.

GCF(98148,98163) = 3

We will now calculate the prime factors of 98148 and 98163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98148 and 98163.

How to find the GCF of 98148 and 98163?

We will first find the prime factorization of 98148 and 98163. After we will calculate the factors of 98148 and 98163 and find the biggest common factor number .

Step-1: Prime Factorization of 98148

Prime factors of 98148 are 2, 3, 8179. Prime factorization of 98148 in exponential form is:

98148 = 2² × 3¹ × 8179¹

Step-2: Prime Factorization of 98163

Prime factors of 98163 are 3, 13, 839. Prime factorization of 98163 in exponential form is:

98163 = 3² × 13¹ × 839¹

Step-3: Factors of 98148

List of positive integer factors of 98148 that divides 98148 without a remainder.

1, 2, 3, 4, 6, 12, 8179, 16358, 24537, 32716, 49074

Step-4: Factors of 98163

List of positive integer factors of 98163 that divides 98148 without a remainder.

1, 3, 9, 13, 39, 117, 839, 2517, 7551, 10907, 32721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98148 and 98163. The biggest common factor number is the GCF number.
So the greatest common factor 98148 and 98163 is 3.

Also check out the Least Common Multiple of 98148 and 98163