What is the Greatest Common Factor of 84395 and 84405?

Greatest common factor (GCF) of 84395 and 84405 is 5.

GCF(84395,84405) = 5

We will now calculate the prime factors of 84395 and 84405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84395 and 84405.

How to find the GCF of 84395 and 84405?

We will first find the prime factorization of 84395 and 84405. After we will calculate the factors of 84395 and 84405 and find the biggest common factor number .

Step-1: Prime Factorization of 84395

Prime factors of 84395 are 5, 16879. Prime factorization of 84395 in exponential form is:

84395 = 5¹ × 16879¹

Step-2: Prime Factorization of 84405

Prime factors of 84405 are 3, 5, 17, 331. Prime factorization of 84405 in exponential form is:

84405 = 3¹ × 5¹ × 17¹ × 331¹

Step-3: Factors of 84395

List of positive integer factors of 84395 that divides 84395 without a remainder.

1, 5, 16879

Step-4: Factors of 84405

List of positive integer factors of 84405 that divides 84395 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 331, 993, 1655, 4965, 5627, 16881, 28135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84395 and 84405. The biggest common factor number is the GCF number.
So the greatest common factor 84395 and 84405 is 5.

Also check out the Least Common Multiple of 84395 and 84405