What is the Greatest Common Factor of 31864 and 31883?

Greatest common factor (GCF) of 31864 and 31883 is 1.

GCF(31864,31883) = 1

We will now calculate the prime factors of 31864 and 31883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31864 and 31883.

How to find the GCF of 31864 and 31883?

We will first find the prime factorization of 31864 and 31883. After we will calculate the factors of 31864 and 31883 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 31883

Prime factors of 31883 are 31883. Prime factorization of 31883 in exponential form is:

31883 = 31883¹

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 31883

List of positive integer factors of 31883 that divides 31864 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31864 and 31883. The biggest common factor number is the GCF number.
So the greatest common factor 31864 and 31883 is 1.

Also check out the Least Common Multiple of 31864 and 31883