What is the Greatest Common Factor of 84405 and 84421?

Greatest common factor (GCF) of 84405 and 84421 is 1.

GCF(84405,84421) = 1

We will now calculate the prime factors of 84405 and 84421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84405 and 84421.

How to find the GCF of 84405 and 84421?

We will first find the prime factorization of 84405 and 84421. After we will calculate the factors of 84405 and 84421 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84421

Prime factors of 84421 are 84421. Prime factorization of 84421 in exponential form is:

84421 = 84421¹

Step-3: Factors of 84405

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

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

Step-4: Factors of 84421

List of positive integer factors of 84421 that divides 84405 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84405 and 84421. The biggest common factor number is the GCF number.
So the greatest common factor 84405 and 84421 is 1.

Also check out the Least Common Multiple of 84405 and 84421