What is the Greatest Common Factor of 31713 and 31727?

Greatest common factor (GCF) of 31713 and 31727 is 1.

GCF(31713,31727) = 1

We will now calculate the prime factors of 31713 and 31727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31713 and 31727.

How to find the GCF of 31713 and 31727?

We will first find the prime factorization of 31713 and 31727. After we will calculate the factors of 31713 and 31727 and find the biggest common factor number .

Step-1: Prime Factorization of 31713

Prime factors of 31713 are 3, 11, 31. Prime factorization of 31713 in exponential form is:

31713 = 3¹ × 11¹ × 31²

Step-2: Prime Factorization of 31727

Prime factors of 31727 are 31727. Prime factorization of 31727 in exponential form is:

31727 = 31727¹

Step-3: Factors of 31713

List of positive integer factors of 31713 that divides 31713 without a remainder.

1, 3, 11, 31, 33, 93, 341, 961, 1023, 2883, 10571

Step-4: Factors of 31727

List of positive integer factors of 31727 that divides 31713 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31713 and 31727. The biggest common factor number is the GCF number.
So the greatest common factor 31713 and 31727 is 1.

Also check out the Least Common Multiple of 31713 and 31727