What is the Greatest Common Factor of 98073 and 98091?

Greatest common factor (GCF) of 98073 and 98091 is 9.

GCF(98073,98091) = 9

We will now calculate the prime factors of 98073 and 98091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98073 and 98091.

How to find the GCF of 98073 and 98091?

We will first find the prime factorization of 98073 and 98091. After we will calculate the factors of 98073 and 98091 and find the biggest common factor number .

Step-1: Prime Factorization of 98073

Prime factors of 98073 are 3, 17, 641. Prime factorization of 98073 in exponential form is:

98073 = 3² × 17¹ × 641¹

Step-2: 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-3: Factors of 98073

List of positive integer factors of 98073 that divides 98073 without a remainder.

1, 3, 9, 17, 51, 153, 641, 1923, 5769, 10897, 32691

Step-4: Factors of 98091

List of positive integer factors of 98091 that divides 98073 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98073 and 98091. The biggest common factor number is the GCF number.
So the greatest common factor 98073 and 98091 is 9.

Also check out the Least Common Multiple of 98073 and 98091