What is the Greatest Common Factor of 31864 and 31869?

Greatest common factor (GCF) of 31864 and 31869 is 1.

GCF(31864,31869) = 1

We will now calculate the prime factors of 31864 and 31869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31864 and 31869.

How to find the GCF of 31864 and 31869?

We will first find the prime factorization of 31864 and 31869. After we will calculate the factors of 31864 and 31869 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 31869

Prime factors of 31869 are 3, 3541. Prime factorization of 31869 in exponential form is:

31869 = 3² × 3541¹

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 31869

List of positive integer factors of 31869 that divides 31864 without a remainder.

1, 3, 9, 3541, 10623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31864 and 31869. The biggest common factor number is the GCF number.
So the greatest common factor 31864 and 31869 is 1.

Also check out the Least Common Multiple of 31864 and 31869