What is the Greatest Common Factor of 98144 and 98148?

Greatest common factor (GCF) of 98144 and 98148 is 4.

GCF(98144,98148) = 4

We will now calculate the prime factors of 98144 and 98148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98144 and 98148.

How to find the GCF of 98144 and 98148?

We will first find the prime factorization of 98144 and 98148. After we will calculate the factors of 98144 and 98148 and find the biggest common factor number .

Step-1: Prime Factorization of 98144

Prime factors of 98144 are 2, 3067. Prime factorization of 98144 in exponential form is:

98144 = 2⁵ × 3067¹

Step-2: 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-3: Factors of 98144

List of positive integer factors of 98144 that divides 98144 without a remainder.

1, 2, 4, 8, 16, 32, 3067, 6134, 12268, 24536, 49072

Step-4: Factors of 98148

List of positive integer factors of 98148 that divides 98144 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98144 and 98148. The biggest common factor number is the GCF number.
So the greatest common factor 98144 and 98148 is 4.

Also check out the Least Common Multiple of 98144 and 98148