What is the Greatest Common Factor of 98225 and 98241?

Greatest common factor (GCF) of 98225 and 98241 is 1.

GCF(98225,98241) = 1

We will now calculate the prime factors of 98225 and 98241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98225 and 98241.

How to find the GCF of 98225 and 98241?

We will first find the prime factorization of 98225 and 98241. After we will calculate the factors of 98225 and 98241 and find the biggest common factor number .

Step-1: Prime Factorization of 98225

Prime factors of 98225 are 5, 3929. Prime factorization of 98225 in exponential form is:

98225 = 5² × 3929¹

Step-2: 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-3: Factors of 98225

List of positive integer factors of 98225 that divides 98225 without a remainder.

1, 5, 25, 3929, 19645

Step-4: Factors of 98241

List of positive integer factors of 98241 that divides 98225 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98225 and 98241. The biggest common factor number is the GCF number.
So the greatest common factor 98225 and 98241 is 1.

Also check out the Least Common Multiple of 98225 and 98241