What is the Greatest Common Factor of 31734 and 31741?

Greatest common factor (GCF) of 31734 and 31741 is 1.

GCF(31734,31741) = 1

We will now calculate the prime factors of 31734 and 31741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31734 and 31741.

How to find the GCF of 31734 and 31741?

We will first find the prime factorization of 31734 and 31741. After we will calculate the factors of 31734 and 31741 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 31741

Prime factors of 31741 are 31741. Prime factorization of 31741 in exponential form is:

31741 = 31741¹

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 31741

List of positive integer factors of 31741 that divides 31734 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31734 and 31741. The biggest common factor number is the GCF number.
So the greatest common factor 31734 and 31741 is 1.

Also check out the Least Common Multiple of 31734 and 31741