What is the Greatest Common Factor of 87305 and 87323?

Greatest common factor (GCF) of 87305 and 87323 is 1.

GCF(87305,87323) = 1

We will now calculate the prime factors of 87305 and 87323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87305 and 87323.

How to find the GCF of 87305 and 87323?

We will first find the prime factorization of 87305 and 87323. After we will calculate the factors of 87305 and 87323 and find the biggest common factor number .

Step-1: Prime Factorization of 87305

Prime factors of 87305 are 5, 19, 919. Prime factorization of 87305 in exponential form is:

87305 = 5¹ × 19¹ × 919¹

Step-2: Prime Factorization of 87323

Prime factors of 87323 are 87323. Prime factorization of 87323 in exponential form is:

87323 = 87323¹

Step-3: Factors of 87305

List of positive integer factors of 87305 that divides 87305 without a remainder.

1, 5, 19, 95, 919, 4595, 17461

Step-4: Factors of 87323

List of positive integer factors of 87323 that divides 87305 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87305 and 87323. The biggest common factor number is the GCF number.
So the greatest common factor 87305 and 87323 is 1.

Also check out the Least Common Multiple of 87305 and 87323