What is the Greatest Common Factor of 80346 and 80360?

Greatest common factor (GCF) of 80346 and 80360 is 14.

GCF(80346,80360) = 14

We will now calculate the prime factors of 80346 and 80360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80346 and 80360.

How to find the GCF of 80346 and 80360?

We will first find the prime factorization of 80346 and 80360. After we will calculate the factors of 80346 and 80360 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 80360

Prime factors of 80360 are 2, 5, 7, 41. Prime factorization of 80360 in exponential form is:

80360 = 2³ × 5¹ × 7² × 41¹

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 80360

List of positive integer factors of 80360 that divides 80346 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 41, 49, 56, 70, 82, 98, 140, 164, 196, 205, 245, 280, 287, 328, 392, 410, 490, 574, 820, 980, 1148, 1435, 1640, 1960, 2009, 2296, 2870, 4018, 5740, 8036, 10045, 11480, 16072, 20090, 40180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80346 and 80360. The biggest common factor number is the GCF number.
So the greatest common factor 80346 and 80360 is 14.

Also check out the Least Common Multiple of 80346 and 80360