What is the Greatest Common Factor of 71725 and 71741?

Greatest common factor (GCF) of 71725 and 71741 is 1.

GCF(71725,71741) = 1

We will now calculate the prime factors of 71725 and 71741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71725 and 71741.

How to find the GCF of 71725 and 71741?

We will first find the prime factorization of 71725 and 71741. After we will calculate the factors of 71725 and 71741 and find the biggest common factor number .

Step-1: Prime Factorization of 71725

Prime factors of 71725 are 5, 19, 151. Prime factorization of 71725 in exponential form is:

71725 = 5² × 19¹ × 151¹

Step-2: Prime Factorization of 71741

Prime factors of 71741 are 71741. Prime factorization of 71741 in exponential form is:

71741 = 71741¹

Step-3: Factors of 71725

List of positive integer factors of 71725 that divides 71725 without a remainder.

1, 5, 19, 25, 95, 151, 475, 755, 2869, 3775, 14345

Step-4: Factors of 71741

List of positive integer factors of 71741 that divides 71725 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71725 and 71741. The biggest common factor number is the GCF number.
So the greatest common factor 71725 and 71741 is 1.

Also check out the Least Common Multiple of 71725 and 71741