What is the Greatest Common Factor of 31878 and 31889?

Greatest common factor (GCF) of 31878 and 31889 is 11.

GCF(31878,31889) = 11

We will now calculate the prime factors of 31878 and 31889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31878 and 31889.

How to find the GCF of 31878 and 31889?

We will first find the prime factorization of 31878 and 31889. After we will calculate the factors of 31878 and 31889 and find the biggest common factor number .

Step-1: Prime Factorization of 31878

Prime factors of 31878 are 2, 3, 7, 11, 23. Prime factorization of 31878 in exponential form is:

31878 = 2¹ × 3² × 7¹ × 11¹ × 23¹

Step-2: Prime Factorization of 31889

Prime factors of 31889 are 11, 13, 223. Prime factorization of 31889 in exponential form is:

31889 = 11¹ × 13¹ × 223¹

Step-3: Factors of 31878

List of positive integer factors of 31878 that divides 31878 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 23, 33, 42, 46, 63, 66, 69, 77, 99, 126, 138, 154, 161, 198, 207, 231, 253, 322, 414, 462, 483, 506, 693, 759, 966, 1386, 1449, 1518, 1771, 2277, 2898, 3542, 4554, 5313, 10626, 15939

Step-4: Factors of 31889

List of positive integer factors of 31889 that divides 31878 without a remainder.

1, 11, 13, 143, 223, 2453, 2899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31878 and 31889. The biggest common factor number is the GCF number.
So the greatest common factor 31878 and 31889 is 11.

Also check out the Least Common Multiple of 31878 and 31889