What is the Greatest Common Factor of 15732 and 15739?

Greatest common factor (GCF) of 15732 and 15739 is 1.

GCF(15732,15739) = 1

We will now calculate the prime factors of 15732 and 15739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15732 and 15739.

How to find the GCF of 15732 and 15739?

We will first find the prime factorization of 15732 and 15739. After we will calculate the factors of 15732 and 15739 and find the biggest common factor number .

Step-1: Prime Factorization of 15732

Prime factors of 15732 are 2, 3, 19, 23. Prime factorization of 15732 in exponential form is:

15732 = 2² × 3² × 19¹ × 23¹

Step-2: Prime Factorization of 15739

Prime factors of 15739 are 15739. Prime factorization of 15739 in exponential form is:

15739 = 15739¹

Step-3: Factors of 15732

List of positive integer factors of 15732 that divides 15732 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 23, 36, 38, 46, 57, 69, 76, 92, 114, 138, 171, 207, 228, 276, 342, 414, 437, 684, 828, 874, 1311, 1748, 2622, 3933, 5244, 7866

Step-4: Factors of 15739

List of positive integer factors of 15739 that divides 15732 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15732 and 15739. The biggest common factor number is the GCF number.
So the greatest common factor 15732 and 15739 is 1.

Also check out the Least Common Multiple of 15732 and 15739