What is the Greatest Common Factor of 31856 and 31864?

Greatest common factor (GCF) of 31856 and 31864 is 8.

GCF(31856,31864) = 8

We will now calculate the prime factors of 31856 and 31864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31856 and 31864.

How to find the GCF of 31856 and 31864?

We will first find the prime factorization of 31856 and 31864. After we will calculate the factors of 31856 and 31864 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31864

Prime factors of 31864 are 2, 7, 569. Prime factorization of 31864 in exponential form is:

31864 = 2³ × 7¹ × 569¹

Step-3: Factors of 31856

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

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

Step-4: Factors of 31864

List of positive integer factors of 31864 that divides 31856 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 569, 1138, 2276, 3983, 4552, 7966, 15932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31856 and 31864. The biggest common factor number is the GCF number.
So the greatest common factor 31856 and 31864 is 8.

Also check out the Least Common Multiple of 31856 and 31864