What is the Greatest Common Factor of 15705 and 15723?

Greatest common factor (GCF) of 15705 and 15723 is 9.

GCF(15705,15723) = 9

We will now calculate the prime factors of 15705 and 15723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15705 and 15723.

How to find the GCF of 15705 and 15723?

We will first find the prime factorization of 15705 and 15723. After we will calculate the factors of 15705 and 15723 and find the biggest common factor number .

Step-1: Prime Factorization of 15705

Prime factors of 15705 are 3, 5, 349. Prime factorization of 15705 in exponential form is:

15705 = 3² × 5¹ × 349¹

Step-2: Prime Factorization of 15723

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

15723 = 3² × 1747¹

Step-3: Factors of 15705

List of positive integer factors of 15705 that divides 15705 without a remainder.

1, 3, 5, 9, 15, 45, 349, 1047, 1745, 3141, 5235

Step-4: Factors of 15723

List of positive integer factors of 15723 that divides 15705 without a remainder.

1, 3, 9, 1747, 5241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15705 and 15723. The biggest common factor number is the GCF number.
So the greatest common factor 15705 and 15723 is 9.

Also check out the Least Common Multiple of 15705 and 15723