What is the Greatest Common Factor of 84361 and 84365?

Greatest common factor (GCF) of 84361 and 84365 is 1.

GCF(84361,84365) = 1

We will now calculate the prime factors of 84361 and 84365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84361 and 84365.

How to find the GCF of 84361 and 84365?

We will first find the prime factorization of 84361 and 84365. After we will calculate the factors of 84361 and 84365 and find the biggest common factor number .

Step-1: Prime Factorization of 84361

Prime factors of 84361 are 29, 2909. Prime factorization of 84361 in exponential form is:

84361 = 29¹ × 2909¹

Step-2: Prime Factorization of 84365

Prime factors of 84365 are 5, 47, 359. Prime factorization of 84365 in exponential form is:

84365 = 5¹ × 47¹ × 359¹

Step-3: Factors of 84361

List of positive integer factors of 84361 that divides 84361 without a remainder.

1, 29, 2909

Step-4: Factors of 84365

List of positive integer factors of 84365 that divides 84361 without a remainder.

1, 5, 47, 235, 359, 1795, 16873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84361 and 84365. The biggest common factor number is the GCF number.
So the greatest common factor 84361 and 84365 is 1.

Also check out the Least Common Multiple of 84361 and 84365