What is the Greatest Common Factor of 71345 and 71359?

Greatest common factor (GCF) of 71345 and 71359 is 1.

GCF(71345,71359) = 1

We will now calculate the prime factors of 71345 and 71359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71345 and 71359.

How to find the GCF of 71345 and 71359?

We will first find the prime factorization of 71345 and 71359. After we will calculate the factors of 71345 and 71359 and find the biggest common factor number .

Step-1: Prime Factorization of 71345

Prime factors of 71345 are 5, 19, 751. Prime factorization of 71345 in exponential form is:

71345 = 5¹ × 19¹ × 751¹

Step-2: Prime Factorization of 71359

Prime factors of 71359 are 71359. Prime factorization of 71359 in exponential form is:

71359 = 71359¹

Step-3: Factors of 71345

List of positive integer factors of 71345 that divides 71345 without a remainder.

1, 5, 19, 95, 751, 3755, 14269

Step-4: Factors of 71359

List of positive integer factors of 71359 that divides 71345 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71345 and 71359. The biggest common factor number is the GCF number.
So the greatest common factor 71345 and 71359 is 1.

Also check out the Least Common Multiple of 71345 and 71359