What is the Greatest Common Factor of 98361 and 98379?

Greatest common factor (GCF) of 98361 and 98379 is 9.

GCF(98361,98379) = 9

We will now calculate the prime factors of 98361 and 98379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98361 and 98379.

How to find the GCF of 98361 and 98379?

We will first find the prime factorization of 98361 and 98379. After we will calculate the factors of 98361 and 98379 and find the biggest common factor number .

Step-1: Prime Factorization of 98361

Prime factors of 98361 are 3, 3643. Prime factorization of 98361 in exponential form is:

98361 = 3³ × 3643¹

Step-2: Prime Factorization of 98379

Prime factors of 98379 are 3, 17, 643. Prime factorization of 98379 in exponential form is:

98379 = 3² × 17¹ × 643¹

Step-3: Factors of 98361

List of positive integer factors of 98361 that divides 98361 without a remainder.

1, 3, 9, 27, 3643, 10929, 32787

Step-4: Factors of 98379

List of positive integer factors of 98379 that divides 98361 without a remainder.

1, 3, 9, 17, 51, 153, 643, 1929, 5787, 10931, 32793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98361 and 98379. The biggest common factor number is the GCF number.
So the greatest common factor 98361 and 98379 is 9.

Also check out the Least Common Multiple of 98361 and 98379