What is the Greatest Common Factor of 31926 and 31935?

Greatest common factor (GCF) of 31926 and 31935 is 3.

GCF(31926,31935) = 3

We will now calculate the prime factors of 31926 and 31935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31926 and 31935.

How to find the GCF of 31926 and 31935?

We will first find the prime factorization of 31926 and 31935. After we will calculate the factors of 31926 and 31935 and find the biggest common factor number .

Step-1: Prime Factorization of 31926

Prime factors of 31926 are 2, 3, 17, 313. Prime factorization of 31926 in exponential form is:

31926 = 2¹ × 3¹ × 17¹ × 313¹

Step-2: Prime Factorization of 31935

Prime factors of 31935 are 3, 5, 2129. Prime factorization of 31935 in exponential form is:

31935 = 3¹ × 5¹ × 2129¹

Step-3: Factors of 31926

List of positive integer factors of 31926 that divides 31926 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 313, 626, 939, 1878, 5321, 10642, 15963

Step-4: Factors of 31935

List of positive integer factors of 31935 that divides 31926 without a remainder.

1, 3, 5, 15, 2129, 6387, 10645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31926 and 31935. The biggest common factor number is the GCF number.
So the greatest common factor 31926 and 31935 is 3.

Also check out the Least Common Multiple of 31926 and 31935