What is the Greatest Common Factor of 98241 and 98254?

Greatest common factor (GCF) of 98241 and 98254 is 13.

GCF(98241,98254) = 13

We will now calculate the prime factors of 98241 and 98254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98241 and 98254.

How to find the GCF of 98241 and 98254?

We will first find the prime factorization of 98241 and 98254. After we will calculate the factors of 98241 and 98254 and find the biggest common factor number .

Step-1: Prime Factorization of 98241

Prime factors of 98241 are 3, 11, 13, 229. Prime factorization of 98241 in exponential form is:

98241 = 3¹ × 11¹ × 13¹ × 229¹

Step-2: Prime Factorization of 98254

Prime factors of 98254 are 2, 13, 3779. Prime factorization of 98254 in exponential form is:

98254 = 2¹ × 13¹ × 3779¹

Step-3: Factors of 98241

List of positive integer factors of 98241 that divides 98241 without a remainder.

1, 3, 11, 13, 33, 39, 143, 229, 429, 687, 2519, 2977, 7557, 8931, 32747

Step-4: Factors of 98254

List of positive integer factors of 98254 that divides 98241 without a remainder.

1, 2, 13, 26, 3779, 7558, 49127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98241 and 98254. The biggest common factor number is the GCF number.
So the greatest common factor 98241 and 98254 is 13.

Also check out the Least Common Multiple of 98241 and 98254