What is the Greatest Common Factor of 31743 and 31757?

Greatest common factor (GCF) of 31743 and 31757 is 1.

GCF(31743,31757) = 1

We will now calculate the prime factors of 31743 and 31757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31743 and 31757.

How to find the GCF of 31743 and 31757?

We will first find the prime factorization of 31743 and 31757. After we will calculate the factors of 31743 and 31757 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 31757

Prime factors of 31757 are 11, 2887. Prime factorization of 31757 in exponential form is:

31757 = 11¹ × 2887¹

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 31757

List of positive integer factors of 31757 that divides 31743 without a remainder.

1, 11, 2887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31743 and 31757. The biggest common factor number is the GCF number.
So the greatest common factor 31743 and 31757 is 1.

Also check out the Least Common Multiple of 31743 and 31757