What is the Greatest Common Factor of 31864 and 31871?

Greatest common factor (GCF) of 31864 and 31871 is 7.

GCF(31864,31871) = 7

We will now calculate the prime factors of 31864 and 31871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31864 and 31871.

How to find the GCF of 31864 and 31871?

We will first find the prime factorization of 31864 and 31871. After we will calculate the factors of 31864 and 31871 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31871

Prime factors of 31871 are 7, 29, 157. Prime factorization of 31871 in exponential form is:

31871 = 7¹ × 29¹ × 157¹

Step-3: Factors of 31864

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

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

Step-4: Factors of 31871

List of positive integer factors of 31871 that divides 31864 without a remainder.

1, 7, 29, 157, 203, 1099, 4553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31864 and 31871. The biggest common factor number is the GCF number.
So the greatest common factor 31864 and 31871 is 7.

Also check out the Least Common Multiple of 31864 and 31871