What is the Greatest Common Factor of 84340 and 84353?

Greatest common factor (GCF) of 84340 and 84353 is 1.

GCF(84340,84353) = 1

We will now calculate the prime factors of 84340 and 84353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84340 and 84353.

How to find the GCF of 84340 and 84353?

We will first find the prime factorization of 84340 and 84353. After we will calculate the factors of 84340 and 84353 and find the biggest common factor number .

Step-1: Prime Factorization of 84340

Prime factors of 84340 are 2, 5, 4217. Prime factorization of 84340 in exponential form is:

84340 = 2² × 5¹ × 4217¹

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 84340

List of positive integer factors of 84340 that divides 84340 without a remainder.

1, 2, 4, 5, 10, 20, 4217, 8434, 16868, 21085, 42170

Step-4: Factors of 84353

List of positive integer factors of 84353 that divides 84340 without a remainder.

1, 67, 1259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84340 and 84353. The biggest common factor number is the GCF number.
So the greatest common factor 84340 and 84353 is 1.

Also check out the Least Common Multiple of 84340 and 84353