What is the Greatest Common Factor of 75723 and 75741?

Greatest common factor (GCF) of 75723 and 75741 is 3.

GCF(75723,75741) = 3

We will now calculate the prime factors of 75723 and 75741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75723 and 75741.

How to find the GCF of 75723 and 75741?

We will first find the prime factorization of 75723 and 75741. After we will calculate the factors of 75723 and 75741 and find the biggest common factor number .

Step-1: Prime Factorization of 75723

Prime factors of 75723 are 3, 43, 587. Prime factorization of 75723 in exponential form is:

75723 = 3¹ × 43¹ × 587¹

Step-2: Prime Factorization of 75741

Prime factors of 75741 are 3, 25247. Prime factorization of 75741 in exponential form is:

75741 = 3¹ × 25247¹

Step-3: Factors of 75723

List of positive integer factors of 75723 that divides 75723 without a remainder.

1, 3, 43, 129, 587, 1761, 25241

Step-4: Factors of 75741

List of positive integer factors of 75741 that divides 75723 without a remainder.

1, 3, 25247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75723 and 75741. The biggest common factor number is the GCF number.
So the greatest common factor 75723 and 75741 is 3.

Also check out the Least Common Multiple of 75723 and 75741