What is the Greatest Common Factor of 31848 and 31866?

Greatest common factor (GCF) of 31848 and 31866 is 6.

GCF(31848,31866) = 6

We will now calculate the prime factors of 31848 and 31866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31848 and 31866.

How to find the GCF of 31848 and 31866?

We will first find the prime factorization of 31848 and 31866. After we will calculate the factors of 31848 and 31866 and find the biggest common factor number .

Step-1: Prime Factorization of 31848

Prime factors of 31848 are 2, 3, 1327. Prime factorization of 31848 in exponential form is:

31848 = 2³ × 3¹ × 1327¹

Step-2: Prime Factorization of 31866

Prime factors of 31866 are 2, 3, 47, 113. Prime factorization of 31866 in exponential form is:

31866 = 2¹ × 3¹ × 47¹ × 113¹

Step-3: Factors of 31848

List of positive integer factors of 31848 that divides 31848 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1327, 2654, 3981, 5308, 7962, 10616, 15924

Step-4: Factors of 31866

List of positive integer factors of 31866 that divides 31848 without a remainder.

1, 2, 3, 6, 47, 94, 113, 141, 226, 282, 339, 678, 5311, 10622, 15933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31848 and 31866. The biggest common factor number is the GCF number.
So the greatest common factor 31848 and 31866 is 6.

Also check out the Least Common Multiple of 31848 and 31866