What is the Greatest Common Factor of 98346 and 98361?

Greatest common factor (GCF) of 98346 and 98361 is 3.

GCF(98346,98361) = 3

We will now calculate the prime factors of 98346 and 98361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98346 and 98361.

How to find the GCF of 98346 and 98361?

We will first find the prime factorization of 98346 and 98361. After we will calculate the factors of 98346 and 98361 and find the biggest common factor number .

Step-1: Prime Factorization of 98346

Prime factors of 98346 are 2, 3, 37, 443. Prime factorization of 98346 in exponential form is:

98346 = 2¹ × 3¹ × 37¹ × 443¹

Step-2: Prime Factorization of 98361

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

98361 = 3³ × 3643¹

Step-3: Factors of 98346

List of positive integer factors of 98346 that divides 98346 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 443, 886, 1329, 2658, 16391, 32782, 49173

Step-4: Factors of 98361

List of positive integer factors of 98361 that divides 98346 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98346 and 98361. The biggest common factor number is the GCF number.
So the greatest common factor 98346 and 98361 is 3.

Also check out the Least Common Multiple of 98346 and 98361