What is the Greatest Common Factor of 15723 and 15727?

Greatest common factor (GCF) of 15723 and 15727 is 1.

GCF(15723,15727) = 1

We will now calculate the prime factors of 15723 and 15727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15723 and 15727.

How to find the GCF of 15723 and 15727?

We will first find the prime factorization of 15723 and 15727. After we will calculate the factors of 15723 and 15727 and find the biggest common factor number .

Step-1: Prime Factorization of 15723

Prime factors of 15723 are 3, 1747. Prime factorization of 15723 in exponential form is:

15723 = 3² × 1747¹

Step-2: Prime Factorization of 15727

Prime factors of 15727 are 15727. Prime factorization of 15727 in exponential form is:

15727 = 15727¹

Step-3: Factors of 15723

List of positive integer factors of 15723 that divides 15723 without a remainder.

1, 3, 9, 1747, 5241

Step-4: Factors of 15727

List of positive integer factors of 15727 that divides 15723 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15723 and 15727. The biggest common factor number is the GCF number.
So the greatest common factor 15723 and 15727 is 1.

Also check out the Least Common Multiple of 15723 and 15727