What is the Greatest Common Factor of 31836 and 31856?

Greatest common factor (GCF) of 31836 and 31856 is 4.

GCF(31836,31856) = 4

We will now calculate the prime factors of 31836 and 31856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31836 and 31856.

How to find the GCF of 31836 and 31856?

We will first find the prime factorization of 31836 and 31856. After we will calculate the factors of 31836 and 31856 and find the biggest common factor number .

Step-1: Prime Factorization of 31836

Prime factors of 31836 are 2, 3, 7, 379. Prime factorization of 31836 in exponential form is:

31836 = 2² × 3¹ × 7¹ × 379¹

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 31836

List of positive integer factors of 31836 that divides 31836 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 379, 758, 1137, 1516, 2274, 2653, 4548, 5306, 7959, 10612, 15918

Step-4: Factors of 31856

List of positive integer factors of 31856 that divides 31836 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 31836 and 31856. The biggest common factor number is the GCF number.
So the greatest common factor 31836 and 31856 is 4.

Also check out the Least Common Multiple of 31836 and 31856