What is the Greatest Common Factor of 98097 and 98101?

Greatest common factor (GCF) of 98097 and 98101 is 1.

GCF(98097,98101) = 1

We will now calculate the prime factors of 98097 and 98101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98097 and 98101.

How to find the GCF of 98097 and 98101?

We will first find the prime factorization of 98097 and 98101. After we will calculate the factors of 98097 and 98101 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98101

Prime factors of 98101 are 98101. Prime factorization of 98101 in exponential form is:

98101 = 98101¹

Step-3: Factors of 98097

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

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

Step-4: Factors of 98101

List of positive integer factors of 98101 that divides 98097 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98097 and 98101. The biggest common factor number is the GCF number.
So the greatest common factor 98097 and 98101 is 1.

Also check out the Least Common Multiple of 98097 and 98101