What is the Greatest Common Factor of 31804 and 31811?

Greatest common factor (GCF) of 31804 and 31811 is 1.

GCF(31804,31811) = 1

We will now calculate the prime factors of 31804 and 31811, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31804 and 31811.

How to find the GCF of 31804 and 31811?

We will first find the prime factorization of 31804 and 31811. After we will calculate the factors of 31804 and 31811 and find the biggest common factor number .

Step-1: Prime Factorization of 31804

Prime factors of 31804 are 2, 7951. Prime factorization of 31804 in exponential form is:

31804 = 2² × 7951¹

Step-2: Prime Factorization of 31811

Prime factors of 31811 are 13, 2447. Prime factorization of 31811 in exponential form is:

31811 = 13¹ × 2447¹

Step-3: Factors of 31804

List of positive integer factors of 31804 that divides 31804 without a remainder.

1, 2, 4, 7951, 15902

Step-4: Factors of 31811

List of positive integer factors of 31811 that divides 31804 without a remainder.

1, 13, 2447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31804 and 31811. The biggest common factor number is the GCF number.
So the greatest common factor 31804 and 31811 is 1.

Also check out the Least Common Multiple of 31804 and 31811