What is the Greatest Common Factor of 31856 and 31867?

Greatest common factor (GCF) of 31856 and 31867 is 11.

GCF(31856,31867) = 11

We will now calculate the prime factors of 31856 and 31867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31856 and 31867.

How to find the GCF of 31856 and 31867?

We will first find the prime factorization of 31856 and 31867. After we will calculate the factors of 31856 and 31867 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 31867

Prime factors of 31867 are 11, 2897. Prime factorization of 31867 in exponential form is:

31867 = 11¹ × 2897¹

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 31867

List of positive integer factors of 31867 that divides 31856 without a remainder.

1, 11, 2897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31856 and 31867. The biggest common factor number is the GCF number.
So the greatest common factor 31856 and 31867 is 11.

Also check out the Least Common Multiple of 31856 and 31867