What is the Greatest Common Factor of 98093 and 98097?

Greatest common factor (GCF) of 98093 and 98097 is 1.

GCF(98093,98097) = 1

We will now calculate the prime factors of 98093 and 98097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98093 and 98097.

How to find the GCF of 98093 and 98097?

We will first find the prime factorization of 98093 and 98097. After we will calculate the factors of 98093 and 98097 and find the biggest common factor number .

Step-1: Prime Factorization of 98093

Prime factors of 98093 are 233, 421. Prime factorization of 98093 in exponential form is:

98093 = 233¹ × 421¹

Step-2: Prime Factorization of 98097

Prime factors of 98097 are 3, 19, 1721. Prime factorization of 98097 in exponential form is:

98097 = 3¹ × 19¹ × 1721¹

Step-3: Factors of 98093

List of positive integer factors of 98093 that divides 98093 without a remainder.

1, 233, 421

Step-4: Factors of 98097

List of positive integer factors of 98097 that divides 98093 without a remainder.

1, 3, 19, 57, 1721, 5163, 32699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98093 and 98097. The biggest common factor number is the GCF number.
So the greatest common factor 98093 and 98097 is 1.

Also check out the Least Common Multiple of 98093 and 98097