What is the Greatest Common Factor of 71305 and 71311?

Greatest common factor (GCF) of 71305 and 71311 is 1.

GCF(71305,71311) = 1

We will now calculate the prime factors of 71305 and 71311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71305 and 71311.

How to find the GCF of 71305 and 71311?

We will first find the prime factorization of 71305 and 71311. After we will calculate the factors of 71305 and 71311 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 71311

Prime factors of 71311 are 29, 2459. Prime factorization of 71311 in exponential form is:

71311 = 29¹ × 2459¹

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 71311

List of positive integer factors of 71311 that divides 71305 without a remainder.

1, 29, 2459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71305 and 71311. The biggest common factor number is the GCF number.
So the greatest common factor 71305 and 71311 is 1.

Also check out the Least Common Multiple of 71305 and 71311