What is the Greatest Common Factor of 98130 and 98134?

Greatest common factor (GCF) of 98130 and 98134 is 2.

GCF(98130,98134) = 2

We will now calculate the prime factors of 98130 and 98134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98130 and 98134.

How to find the GCF of 98130 and 98134?

We will first find the prime factorization of 98130 and 98134. After we will calculate the factors of 98130 and 98134 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 98134

Prime factors of 98134 are 2, 139, 353. Prime factorization of 98134 in exponential form is:

98134 = 2¹ × 139¹ × 353¹

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 98134

List of positive integer factors of 98134 that divides 98130 without a remainder.

1, 2, 139, 278, 353, 706, 49067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98130 and 98134. The biggest common factor number is the GCF number.
So the greatest common factor 98130 and 98134 is 2.

Also check out the Least Common Multiple of 98130 and 98134