What is the Greatest Common Factor of 31904 and 31917?

Greatest common factor (GCF) of 31904 and 31917 is 1.

GCF(31904,31917) = 1

We will now calculate the prime factors of 31904 and 31917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31904 and 31917.

How to find the GCF of 31904 and 31917?

We will first find the prime factorization of 31904 and 31917. After we will calculate the factors of 31904 and 31917 and find the biggest common factor number .

Step-1: Prime Factorization of 31904

Prime factors of 31904 are 2, 997. Prime factorization of 31904 in exponential form is:

31904 = 2⁵ × 997¹

Step-2: Prime Factorization of 31917

Prime factors of 31917 are 3, 10639. Prime factorization of 31917 in exponential form is:

31917 = 3¹ × 10639¹

Step-3: Factors of 31904

List of positive integer factors of 31904 that divides 31904 without a remainder.

1, 2, 4, 8, 16, 32, 997, 1994, 3988, 7976, 15952

Step-4: Factors of 31917

List of positive integer factors of 31917 that divides 31904 without a remainder.

1, 3, 10639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31904 and 31917. The biggest common factor number is the GCF number.
So the greatest common factor 31904 and 31917 is 1.

Also check out the Least Common Multiple of 31904 and 31917