What is the Greatest Common Factor of 98130 and 98144?

Greatest common factor (GCF) of 98130 and 98144 is 2.

GCF(98130,98144) = 2

We will now calculate the prime factors of 98130 and 98144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98130 and 98144.

How to find the GCF of 98130 and 98144?

We will first find the prime factorization of 98130 and 98144. After we will calculate the factors of 98130 and 98144 and find the biggest common factor number .

Step-1: Prime Factorization of 98130

Prime factors of 98130 are 2, 3, 5, 3271. Prime factorization of 98130 in exponential form is:

98130 = 2¹ × 3¹ × 5¹ × 3271¹

Step-2: Prime Factorization of 98144

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

98144 = 2⁵ × 3067¹

Step-3: Factors of 98130

List of positive integer factors of 98130 that divides 98130 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3271, 6542, 9813, 16355, 19626, 32710, 49065

Step-4: Factors of 98144

List of positive integer factors of 98144 that divides 98130 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98130 and 98144. The biggest common factor number is the GCF number.
So the greatest common factor 98130 and 98144 is 2.

Also check out the Least Common Multiple of 98130 and 98144