What is the Greatest Common Factor of 31887 and 31896?

Greatest common factor (GCF) of 31887 and 31896 is 9.

GCF(31887,31896) = 9

We will now calculate the prime factors of 31887 and 31896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31887 and 31896.

How to find the GCF of 31887 and 31896?

We will first find the prime factorization of 31887 and 31896. After we will calculate the factors of 31887 and 31896 and find the biggest common factor number .

Step-1: Prime Factorization of 31887

Prime factors of 31887 are 3, 1181. Prime factorization of 31887 in exponential form is:

31887 = 3³ × 1181¹

Step-2: 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-3: Factors of 31887

List of positive integer factors of 31887 that divides 31887 without a remainder.

1, 3, 9, 27, 1181, 3543, 10629

Step-4: Factors of 31896

List of positive integer factors of 31896 that divides 31887 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31887 and 31896. The biggest common factor number is the GCF number.
So the greatest common factor 31887 and 31896 is 9.

Also check out the Least Common Multiple of 31887 and 31896