What is the Greatest Common Factor of 31864 and 31870?

Greatest common factor (GCF) of 31864 and 31870 is 2.

GCF(31864,31870) = 2

We will now calculate the prime factors of 31864 and 31870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31864 and 31870.

How to find the GCF of 31864 and 31870?

We will first find the prime factorization of 31864 and 31870. After we will calculate the factors of 31864 and 31870 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 31870

Prime factors of 31870 are 2, 5, 3187. Prime factorization of 31870 in exponential form is:

31870 = 2¹ × 5¹ × 3187¹

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 31870

List of positive integer factors of 31870 that divides 31864 without a remainder.

1, 2, 5, 10, 3187, 6374, 15935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31864 and 31870. The biggest common factor number is the GCF number.
So the greatest common factor 31864 and 31870 is 2.

Also check out the Least Common Multiple of 31864 and 31870