What is the Greatest Common Factor of 98091 and 98109?

Greatest common factor (GCF) of 98091 and 98109 is 9.

GCF(98091,98109) = 9

We will now calculate the prime factors of 98091 and 98109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98091 and 98109.

How to find the GCF of 98091 and 98109?

We will first find the prime factorization of 98091 and 98109. After we will calculate the factors of 98091 and 98109 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 98109

Prime factors of 98109 are 3, 11, 991. Prime factorization of 98109 in exponential form is:

98109 = 3² × 11¹ × 991¹

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 98109

List of positive integer factors of 98109 that divides 98091 without a remainder.

1, 3, 9, 11, 33, 99, 991, 2973, 8919, 10901, 32703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98091 and 98109. The biggest common factor number is the GCF number.
So the greatest common factor 98091 and 98109 is 9.

Also check out the Least Common Multiple of 98091 and 98109