What is the Greatest Common Factor of 31734 and 31747?

Greatest common factor (GCF) of 31734 and 31747 is 1.

GCF(31734,31747) = 1

We will now calculate the prime factors of 31734 and 31747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31734 and 31747.

How to find the GCF of 31734 and 31747?

We will first find the prime factorization of 31734 and 31747. After we will calculate the factors of 31734 and 31747 and find the biggest common factor number .

Step-1: Prime Factorization of 31734

Prime factors of 31734 are 2, 3, 41, 43. Prime factorization of 31734 in exponential form is:

31734 = 2¹ × 3² × 41¹ × 43¹

Step-2: Prime Factorization of 31747

Prime factors of 31747 are 53, 599. Prime factorization of 31747 in exponential form is:

31747 = 53¹ × 599¹

Step-3: Factors of 31734

List of positive integer factors of 31734 that divides 31734 without a remainder.

1, 2, 3, 6, 9, 18, 41, 43, 82, 86, 123, 129, 246, 258, 369, 387, 738, 774, 1763, 3526, 5289, 10578, 15867

Step-4: Factors of 31747

List of positive integer factors of 31747 that divides 31734 without a remainder.

1, 53, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31734 and 31747. The biggest common factor number is the GCF number.
So the greatest common factor 31734 and 31747 is 1.

Also check out the Least Common Multiple of 31734 and 31747