What is the Greatest Common Factor of 98091 and 98097?

Greatest common factor (GCF) of 98091 and 98097 is 3.

GCF(98091,98097) = 3

We will now calculate the prime factors of 98091 and 98097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98091 and 98097.

How to find the GCF of 98091 and 98097?

We will first find the prime factorization of 98091 and 98097. After we will calculate the factors of 98091 and 98097 and find the biggest common factor number .

Step-1: Prime Factorization of 98091

Prime factors of 98091 are 3, 7, 173. Prime factorization of 98091 in exponential form is:

98091 = 3⁴ × 7¹ × 173¹

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 98091

List of positive integer factors of 98091 that divides 98091 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 173, 189, 519, 567, 1211, 1557, 3633, 4671, 10899, 14013, 32697

Step-4: Factors of 98097

List of positive integer factors of 98097 that divides 98091 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98091 and 98097. The biggest common factor number is the GCF number.
So the greatest common factor 98091 and 98097 is 3.

Also check out the Least Common Multiple of 98091 and 98097