What is the Greatest Common Factor of 98292 and 98297?

Greatest common factor (GCF) of 98292 and 98297 is 1.

GCF(98292,98297) = 1

We will now calculate the prime factors of 98292 and 98297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98292 and 98297.

How to find the GCF of 98292 and 98297?

We will first find the prime factorization of 98292 and 98297. After we will calculate the factors of 98292 and 98297 and find the biggest common factor number .

Step-1: Prime Factorization of 98292

Prime factors of 98292 are 2, 3, 8191. Prime factorization of 98292 in exponential form is:

98292 = 2² × 3¹ × 8191¹

Step-2: Prime Factorization of 98297

Prime factors of 98297 are 98297. Prime factorization of 98297 in exponential form is:

98297 = 98297¹

Step-3: Factors of 98292

List of positive integer factors of 98292 that divides 98292 without a remainder.

1, 2, 3, 4, 6, 12, 8191, 16382, 24573, 32764, 49146

Step-4: Factors of 98297

List of positive integer factors of 98297 that divides 98292 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98292 and 98297. The biggest common factor number is the GCF number.
So the greatest common factor 98292 and 98297 is 1.

Also check out the Least Common Multiple of 98292 and 98297