What is the Greatest Common Factor of 15714 and 15732?

Greatest common factor (GCF) of 15714 and 15732 is 18.

GCF(15714,15732) = 18

We will now calculate the prime factors of 15714 and 15732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15714 and 15732.

How to find the GCF of 15714 and 15732?

We will first find the prime factorization of 15714 and 15732. After we will calculate the factors of 15714 and 15732 and find the biggest common factor number .

Step-1: Prime Factorization of 15714

Prime factors of 15714 are 2, 3, 97. Prime factorization of 15714 in exponential form is:

15714 = 2¹ × 3⁴ × 97¹

Step-2: 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-3: Factors of 15714

List of positive integer factors of 15714 that divides 15714 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 97, 162, 194, 291, 582, 873, 1746, 2619, 5238, 7857

Step-4: Factors of 15732

List of positive integer factors of 15732 that divides 15714 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15714 and 15732. The biggest common factor number is the GCF number.
So the greatest common factor 15714 and 15732 is 18.

Also check out the Least Common Multiple of 15714 and 15732