What is the Greatest Common Factor of 31838 and 31856?

Greatest common factor (GCF) of 31838 and 31856 is 2.

GCF(31838,31856) = 2

We will now calculate the prime factors of 31838 and 31856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31838 and 31856.

How to find the GCF of 31838 and 31856?

We will first find the prime factorization of 31838 and 31856. After we will calculate the factors of 31838 and 31856 and find the biggest common factor number .

Step-1: Prime Factorization of 31838

Prime factors of 31838 are 2, 15919. Prime factorization of 31838 in exponential form is:

31838 = 2¹ × 15919¹

Step-2: Prime Factorization of 31856

Prime factors of 31856 are 2, 11, 181. Prime factorization of 31856 in exponential form is:

31856 = 2⁴ × 11¹ × 181¹

Step-3: Factors of 31838

List of positive integer factors of 31838 that divides 31838 without a remainder.

1, 2, 15919

Step-4: Factors of 31856

List of positive integer factors of 31856 that divides 31838 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 181, 362, 724, 1448, 1991, 2896, 3982, 7964, 15928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31838 and 31856. The biggest common factor number is the GCF number.
So the greatest common factor 31838 and 31856 is 2.

Also check out the Least Common Multiple of 31838 and 31856