What is the Greatest Common Factor of 84342 and 84353?

Greatest common factor (GCF) of 84342 and 84353 is 1.

GCF(84342,84353) = 1

We will now calculate the prime factors of 84342 and 84353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84342 and 84353.

How to find the GCF of 84342 and 84353?

We will first find the prime factorization of 84342 and 84353. After we will calculate the factors of 84342 and 84353 and find the biggest common factor number .

Step-1: Prime Factorization of 84342

Prime factors of 84342 are 2, 3, 14057. Prime factorization of 84342 in exponential form is:

84342 = 2¹ × 3¹ × 14057¹

Step-2: Prime Factorization of 84353

Prime factors of 84353 are 67, 1259. Prime factorization of 84353 in exponential form is:

84353 = 67¹ × 1259¹

Step-3: Factors of 84342

List of positive integer factors of 84342 that divides 84342 without a remainder.

1, 2, 3, 6, 14057, 28114, 42171

Step-4: Factors of 84353

List of positive integer factors of 84353 that divides 84342 without a remainder.

1, 67, 1259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84342 and 84353. The biggest common factor number is the GCF number.
So the greatest common factor 84342 and 84353 is 1.

Also check out the Least Common Multiple of 84342 and 84353