What is the Greatest Common Factor of 71785 and 71791?

Greatest common factor (GCF) of 71785 and 71791 is 1.

GCF(71785,71791) = 1

We will now calculate the prime factors of 71785 and 71791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71785 and 71791.

How to find the GCF of 71785 and 71791?

We will first find the prime factorization of 71785 and 71791. After we will calculate the factors of 71785 and 71791 and find the biggest common factor number .

Step-1: Prime Factorization of 71785

Prime factors of 71785 are 5, 7, 293. Prime factorization of 71785 in exponential form is:

71785 = 5¹ × 7² × 293¹

Step-2: Prime Factorization of 71791

Prime factors of 71791 are 17, 41, 103. Prime factorization of 71791 in exponential form is:

71791 = 17¹ × 41¹ × 103¹

Step-3: Factors of 71785

List of positive integer factors of 71785 that divides 71785 without a remainder.

1, 5, 7, 35, 49, 245, 293, 1465, 2051, 10255, 14357

Step-4: Factors of 71791

List of positive integer factors of 71791 that divides 71785 without a remainder.

1, 17, 41, 103, 697, 1751, 4223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71785 and 71791. The biggest common factor number is the GCF number.
So the greatest common factor 71785 and 71791 is 1.

Also check out the Least Common Multiple of 71785 and 71791