What is the Greatest Common Factor of 31737 and 31757?

Greatest common factor (GCF) of 31737 and 31757 is 1.

GCF(31737,31757) = 1

We will now calculate the prime factors of 31737 and 31757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31737 and 31757.

How to find the GCF of 31737 and 31757?

We will first find the prime factorization of 31737 and 31757. After we will calculate the factors of 31737 and 31757 and find the biggest common factor number .

Step-1: Prime Factorization of 31737

Prime factors of 31737 are 3, 71, 149. Prime factorization of 31737 in exponential form is:

31737 = 3¹ × 71¹ × 149¹

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 31737

List of positive integer factors of 31737 that divides 31737 without a remainder.

1, 3, 71, 149, 213, 447, 10579

Step-4: Factors of 31757

List of positive integer factors of 31757 that divides 31737 without a remainder.

1, 11, 2887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31737 and 31757. The biggest common factor number is the GCF number.
So the greatest common factor 31737 and 31757 is 1.

Also check out the Least Common Multiple of 31737 and 31757