What is the Greatest Common Factor of 31896 and 31905?

Greatest common factor (GCF) of 31896 and 31905 is 9.

GCF(31896,31905) = 9

We will now calculate the prime factors of 31896 and 31905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31896 and 31905.

How to find the GCF of 31896 and 31905?

We will first find the prime factorization of 31896 and 31905. After we will calculate the factors of 31896 and 31905 and find the biggest common factor number .

Step-1: Prime Factorization of 31896

Prime factors of 31896 are 2, 3, 443. Prime factorization of 31896 in exponential form is:

31896 = 2³ × 3² × 443¹

Step-2: Prime Factorization of 31905

Prime factors of 31905 are 3, 5, 709. Prime factorization of 31905 in exponential form is:

31905 = 3² × 5¹ × 709¹

Step-3: Factors of 31896

List of positive integer factors of 31896 that divides 31896 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 443, 886, 1329, 1772, 2658, 3544, 3987, 5316, 7974, 10632, 15948

Step-4: Factors of 31905

List of positive integer factors of 31905 that divides 31896 without a remainder.

1, 3, 5, 9, 15, 45, 709, 2127, 3545, 6381, 10635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31896 and 31905. The biggest common factor number is the GCF number.
So the greatest common factor 31896 and 31905 is 9.

Also check out the Least Common Multiple of 31896 and 31905