What is the Greatest Common Factor of 45723 and 45735?

Greatest common factor (GCF) of 45723 and 45735 is 3.

GCF(45723,45735) = 3

We will now calculate the prime factors of 45723 and 45735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45723 and 45735.

How to find the GCF of 45723 and 45735?

We will first find the prime factorization of 45723 and 45735. After we will calculate the factors of 45723 and 45735 and find the biggest common factor number .

Step-1: Prime Factorization of 45723

Prime factors of 45723 are 3, 15241. Prime factorization of 45723 in exponential form is:

45723 = 3¹ × 15241¹

Step-2: Prime Factorization of 45735

Prime factors of 45735 are 3, 5, 3049. Prime factorization of 45735 in exponential form is:

45735 = 3¹ × 5¹ × 3049¹

Step-3: Factors of 45723

List of positive integer factors of 45723 that divides 45723 without a remainder.

1, 3, 15241

Step-4: Factors of 45735

List of positive integer factors of 45735 that divides 45723 without a remainder.

1, 3, 5, 15, 3049, 9147, 15245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45723 and 45735. The biggest common factor number is the GCF number.
So the greatest common factor 45723 and 45735 is 3.

Also check out the Least Common Multiple of 45723 and 45735