What is the Greatest Common Factor of 98222 and 98241?

Greatest common factor (GCF) of 98222 and 98241 is 1.

GCF(98222,98241) = 1

We will now calculate the prime factors of 98222 and 98241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98222 and 98241.

How to find the GCF of 98222 and 98241?

We will first find the prime factorization of 98222 and 98241. After we will calculate the factors of 98222 and 98241 and find the biggest common factor number .

Step-1: Prime Factorization of 98222

Prime factors of 98222 are 2, 67, 733. Prime factorization of 98222 in exponential form is:

98222 = 2¹ × 67¹ × 733¹

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 98222

List of positive integer factors of 98222 that divides 98222 without a remainder.

1, 2, 67, 134, 733, 1466, 49111

Step-4: Factors of 98241

List of positive integer factors of 98241 that divides 98222 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 98222 and 98241. The biggest common factor number is the GCF number.
So the greatest common factor 98222 and 98241 is 1.

Also check out the Least Common Multiple of 98222 and 98241