What is the Greatest Common Factor of 80346 and 80361?

Greatest common factor (GCF) of 80346 and 80361 is 3.

GCF(80346,80361) = 3

We will now calculate the prime factors of 80346 and 80361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80346 and 80361.

How to find the GCF of 80346 and 80361?

We will first find the prime factorization of 80346 and 80361. After we will calculate the factors of 80346 and 80361 and find the biggest common factor number .

Step-1: Prime Factorization of 80346

Prime factors of 80346 are 2, 3, 7, 1913. Prime factorization of 80346 in exponential form is:

80346 = 2¹ × 3¹ × 7¹ × 1913¹

Step-2: Prime Factorization of 80361

Prime factors of 80361 are 3, 8929. Prime factorization of 80361 in exponential form is:

80361 = 3² × 8929¹

Step-3: Factors of 80346

List of positive integer factors of 80346 that divides 80346 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1913, 3826, 5739, 11478, 13391, 26782, 40173

Step-4: Factors of 80361

List of positive integer factors of 80361 that divides 80346 without a remainder.

1, 3, 9, 8929, 26787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80346 and 80361. The biggest common factor number is the GCF number.
So the greatest common factor 80346 and 80361 is 3.

Also check out the Least Common Multiple of 80346 and 80361