What is the Greatest Common Factor of 84335 and 84340?

Greatest common factor (GCF) of 84335 and 84340 is 5.

GCF(84335,84340) = 5

We will now calculate the prime factors of 84335 and 84340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84335 and 84340.

How to find the GCF of 84335 and 84340?

We will first find the prime factorization of 84335 and 84340. After we will calculate the factors of 84335 and 84340 and find the biggest common factor number .

Step-1: Prime Factorization of 84335

Prime factors of 84335 are 5, 101, 167. Prime factorization of 84335 in exponential form is:

84335 = 5¹ × 101¹ × 167¹

Step-2: 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-3: Factors of 84335

List of positive integer factors of 84335 that divides 84335 without a remainder.

1, 5, 101, 167, 505, 835, 16867

Step-4: Factors of 84340

List of positive integer factors of 84340 that divides 84335 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84335 and 84340. The biggest common factor number is the GCF number.
So the greatest common factor 84335 and 84340 is 5.

Also check out the Least Common Multiple of 84335 and 84340