What is the Greatest Common Factor of 31743 and 31761?

Greatest common factor (GCF) of 31743 and 31761 is 9.

GCF(31743,31761) = 9

We will now calculate the prime factors of 31743 and 31761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31743 and 31761.

How to find the GCF of 31743 and 31761?

We will first find the prime factorization of 31743 and 31761. After we will calculate the factors of 31743 and 31761 and find the biggest common factor number .

Step-1: Prime Factorization of 31743

Prime factors of 31743 are 3, 3527. Prime factorization of 31743 in exponential form is:

31743 = 3² × 3527¹

Step-2: Prime Factorization of 31761

Prime factors of 31761 are 3, 3529. Prime factorization of 31761 in exponential form is:

31761 = 3² × 3529¹

Step-3: Factors of 31743

List of positive integer factors of 31743 that divides 31743 without a remainder.

1, 3, 9, 3527, 10581

Step-4: Factors of 31761

List of positive integer factors of 31761 that divides 31743 without a remainder.

1, 3, 9, 3529, 10587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31743 and 31761. The biggest common factor number is the GCF number.
So the greatest common factor 31743 and 31761 is 9.

Also check out the Least Common Multiple of 31743 and 31761