What is the Greatest Common Factor of 15736 and 15743?

Greatest common factor (GCF) of 15736 and 15743 is 7.

GCF(15736,15743) = 7

We will now calculate the prime factors of 15736 and 15743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15736 and 15743.

How to find the GCF of 15736 and 15743?

We will first find the prime factorization of 15736 and 15743. After we will calculate the factors of 15736 and 15743 and find the biggest common factor number .

Step-1: Prime Factorization of 15736

Prime factors of 15736 are 2, 7, 281. Prime factorization of 15736 in exponential form is:

15736 = 2³ × 7¹ × 281¹

Step-2: Prime Factorization of 15743

Prime factors of 15743 are 7, 13, 173. Prime factorization of 15743 in exponential form is:

15743 = 7¹ × 13¹ × 173¹

Step-3: Factors of 15736

List of positive integer factors of 15736 that divides 15736 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 281, 562, 1124, 1967, 2248, 3934, 7868

Step-4: Factors of 15743

List of positive integer factors of 15743 that divides 15736 without a remainder.

1, 7, 13, 91, 173, 1211, 2249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15736 and 15743. The biggest common factor number is the GCF number.
So the greatest common factor 15736 and 15743 is 7.

Also check out the Least Common Multiple of 15736 and 15743