What is the Greatest Common Factor of 16343 and 16358?

Greatest common factor (GCF) of 16343 and 16358 is 1.

GCF(16343,16358) = 1

We will now calculate the prime factors of 16343 and 16358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16343 and 16358.

How to find the GCF of 16343 and 16358?

We will first find the prime factorization of 16343 and 16358. After we will calculate the factors of 16343 and 16358 and find the biggest common factor number .

Step-1: Prime Factorization of 16343

Prime factors of 16343 are 59, 277. Prime factorization of 16343 in exponential form is:

16343 = 59¹ × 277¹

Step-2: Prime Factorization of 16358

Prime factors of 16358 are 2, 8179. Prime factorization of 16358 in exponential form is:

16358 = 2¹ × 8179¹

Step-3: Factors of 16343

List of positive integer factors of 16343 that divides 16343 without a remainder.

1, 59, 277

Step-4: Factors of 16358

List of positive integer factors of 16358 that divides 16343 without a remainder.

1, 2, 8179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16343 and 16358. The biggest common factor number is the GCF number.
So the greatest common factor 16343 and 16358 is 1.

Also check out the Least Common Multiple of 16343 and 16358