What is the Greatest Common Factor of 71317 and 71328?

Greatest common factor (GCF) of 71317 and 71328 is 1.

GCF(71317,71328) = 1

We will now calculate the prime factors of 71317 and 71328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71317 and 71328.

How to find the GCF of 71317 and 71328?

We will first find the prime factorization of 71317 and 71328. After we will calculate the factors of 71317 and 71328 and find the biggest common factor number .

Step-1: Prime Factorization of 71317

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

71317 = 71317¹

Step-2: Prime Factorization of 71328

Prime factors of 71328 are 2, 3, 743. Prime factorization of 71328 in exponential form is:

71328 = 2⁵ × 3¹ × 743¹

Step-3: Factors of 71317

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

Step-4: Factors of 71328

List of positive integer factors of 71328 that divides 71317 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 743, 1486, 2229, 2972, 4458, 5944, 8916, 11888, 17832, 23776, 35664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71317 and 71328. The biggest common factor number is the GCF number.
So the greatest common factor 71317 and 71328 is 1.

Also check out the Least Common Multiple of 71317 and 71328