What is the Greatest Common Factor of 723 and 743?

Greatest common factor (GCF) of 723 and 743 is 1.

GCF(723,743) = 1

We will now calculate the prime factors of 723 and 743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 723 and 743.

How to find the GCF of 723 and 743?

We will first find the prime factorization of 723 and 743. After we will calculate the factors of 723 and 743 and find the biggest common factor number .

Step-1: Prime Factorization of 723

Prime factors of 723 are 3, 241. Prime factorization of 723 in exponential form is:

723 = 3¹ × 241¹

Step-2: Prime Factorization of 743

Prime factors of 743 are 743. Prime factorization of 743 in exponential form is:

743 = 743¹

Step-3: Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1, 3, 241

Step-4: Factors of 743

List of positive integer factors of 743 that divides 723 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 723 and 743. The biggest common factor number is the GCF number.
So the greatest common factor 723 and 743 is 1.

Also check out the Least Common Multiple of 723 and 743