What is the Greatest Common Factor of 80342 and 80346?

Greatest common factor (GCF) of 80342 and 80346 is 2.

GCF(80342,80346) = 2

We will now calculate the prime factors of 80342 and 80346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80342 and 80346.

How to find the GCF of 80342 and 80346?

We will first find the prime factorization of 80342 and 80346. After we will calculate the factors of 80342 and 80346 and find the biggest common factor number .

Step-1: Prime Factorization of 80342

Prime factors of 80342 are 2, 17, 139. Prime factorization of 80342 in exponential form is:

80342 = 2¹ × 17² × 139¹

Step-2: 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-3: Factors of 80342

List of positive integer factors of 80342 that divides 80342 without a remainder.

1, 2, 17, 34, 139, 278, 289, 578, 2363, 4726, 40171

Step-4: Factors of 80346

List of positive integer factors of 80346 that divides 80342 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80342 and 80346. The biggest common factor number is the GCF number.
So the greatest common factor 80342 and 80346 is 2.

Also check out the Least Common Multiple of 80342 and 80346