What is the Greatest Common Factor of 15729 and 15735?

Greatest common factor (GCF) of 15729 and 15735 is 3.

GCF(15729,15735) = 3

We will now calculate the prime factors of 15729 and 15735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15729 and 15735.

How to find the GCF of 15729 and 15735?

We will first find the prime factorization of 15729 and 15735. After we will calculate the factors of 15729 and 15735 and find the biggest common factor number .

Step-1: Prime Factorization of 15729

Prime factors of 15729 are 3, 7, 107. Prime factorization of 15729 in exponential form is:

15729 = 3¹ × 7² × 107¹

Step-2: Prime Factorization of 15735

Prime factors of 15735 are 3, 5, 1049. Prime factorization of 15735 in exponential form is:

15735 = 3¹ × 5¹ × 1049¹

Step-3: Factors of 15729

List of positive integer factors of 15729 that divides 15729 without a remainder.

1, 3, 7, 21, 49, 107, 147, 321, 749, 2247, 5243

Step-4: Factors of 15735

List of positive integer factors of 15735 that divides 15729 without a remainder.

1, 3, 5, 15, 1049, 3147, 5245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15729 and 15735. The biggest common factor number is the GCF number.
So the greatest common factor 15729 and 15735 is 3.

Also check out the Least Common Multiple of 15729 and 15735