What is the Greatest Common Factor of 92349 and 92361?

Greatest common factor (GCF) of 92349 and 92361 is 3.

GCF(92349,92361) = 3

We will now calculate the prime factors of 92349 and 92361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92349 and 92361.

How to find the GCF of 92349 and 92361?

We will first find the prime factorization of 92349 and 92361. After we will calculate the factors of 92349 and 92361 and find the biggest common factor number .

Step-1: Prime Factorization of 92349

Prime factors of 92349 are 3, 31, 331. Prime factorization of 92349 in exponential form is:

92349 = 3² × 31¹ × 331¹

Step-2: Prime Factorization of 92361

Prime factors of 92361 are 3, 17, 1811. Prime factorization of 92361 in exponential form is:

92361 = 3¹ × 17¹ × 1811¹

Step-3: Factors of 92349

List of positive integer factors of 92349 that divides 92349 without a remainder.

1, 3, 9, 31, 93, 279, 331, 993, 2979, 10261, 30783

Step-4: Factors of 92361

List of positive integer factors of 92361 that divides 92349 without a remainder.

1, 3, 17, 51, 1811, 5433, 30787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92349 and 92361. The biggest common factor number is the GCF number.
So the greatest common factor 92349 and 92361 is 3.

Also check out the Least Common Multiple of 92349 and 92361