What is the Greatest Common Factor of 95729 and 95745?

Greatest common factor (GCF) of 95729 and 95745 is 1.

GCF(95729,95745) = 1

We will now calculate the prime factors of 95729 and 95745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95729 and 95745.

How to find the GCF of 95729 and 95745?

We will first find the prime factorization of 95729 and 95745. After we will calculate the factors of 95729 and 95745 and find the biggest common factor number .

Step-1: Prime Factorization of 95729

Prime factors of 95729 are 29, 3301. Prime factorization of 95729 in exponential form is:

95729 = 29¹ × 3301¹

Step-2: Prime Factorization of 95745

Prime factors of 95745 are 3, 5, 13, 491. Prime factorization of 95745 in exponential form is:

95745 = 3¹ × 5¹ × 13¹ × 491¹

Step-3: Factors of 95729

List of positive integer factors of 95729 that divides 95729 without a remainder.

1, 29, 3301

Step-4: Factors of 95745

List of positive integer factors of 95745 that divides 95729 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 491, 1473, 2455, 6383, 7365, 19149, 31915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95729 and 95745. The biggest common factor number is the GCF number.
So the greatest common factor 95729 and 95745 is 1.

Also check out the Least Common Multiple of 95729 and 95745