What is the Greatest Common Factor of 31695 and 31713?

Greatest common factor (GCF) of 31695 and 31713 is 3.

GCF(31695,31713) = 3

We will now calculate the prime factors of 31695 and 31713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31695 and 31713.

How to find the GCF of 31695 and 31713?

We will first find the prime factorization of 31695 and 31713. After we will calculate the factors of 31695 and 31713 and find the biggest common factor number .

Step-1: Prime Factorization of 31695

Prime factors of 31695 are 3, 5, 2113. Prime factorization of 31695 in exponential form is:

31695 = 3¹ × 5¹ × 2113¹

Step-2: 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-3: Factors of 31695

List of positive integer factors of 31695 that divides 31695 without a remainder.

1, 3, 5, 15, 2113, 6339, 10565

Step-4: Factors of 31713

List of positive integer factors of 31713 that divides 31695 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31695 and 31713. The biggest common factor number is the GCF number.
So the greatest common factor 31695 and 31713 is 3.

Also check out the Least Common Multiple of 31695 and 31713