What is the Greatest Common Factor of 71305 and 71317?

Greatest common factor (GCF) of 71305 and 71317 is 1.

GCF(71305,71317) = 1

We will now calculate the prime factors of 71305 and 71317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71305 and 71317.

How to find the GCF of 71305 and 71317?

We will first find the prime factorization of 71305 and 71317. After we will calculate the factors of 71305 and 71317 and find the biggest common factor number .

Step-1: Prime Factorization of 71305

Prime factors of 71305 are 5, 13, 1097. Prime factorization of 71305 in exponential form is:

71305 = 5¹ × 13¹ × 1097¹

Step-2: Prime Factorization of 71317

Prime factors of 71317 are 71317. Prime factorization of 71317 in exponential form is:

71317 = 71317¹

Step-3: Factors of 71305

List of positive integer factors of 71305 that divides 71305 without a remainder.

1, 5, 13, 65, 1097, 5485, 14261

Step-4: Factors of 71317

List of positive integer factors of 71317 that divides 71305 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71305 and 71317. The biggest common factor number is the GCF number.
So the greatest common factor 71305 and 71317 is 1.

Also check out the Least Common Multiple of 71305 and 71317