What is the Greatest Common Factor of 31809 and 31823?

Greatest common factor (GCF) of 31809 and 31823 is 1.

GCF(31809,31823) = 1

We will now calculate the prime factors of 31809 and 31823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31809 and 31823.

How to find the GCF of 31809 and 31823?

We will first find the prime factorization of 31809 and 31823. After we will calculate the factors of 31809 and 31823 and find the biggest common factor number .

Step-1: Prime Factorization of 31809

Prime factors of 31809 are 3, 23, 461. Prime factorization of 31809 in exponential form is:

31809 = 3¹ × 23¹ × 461¹

Step-2: Prime Factorization of 31823

Prime factors of 31823 are 11, 263. Prime factorization of 31823 in exponential form is:

31823 = 11² × 263¹

Step-3: Factors of 31809

List of positive integer factors of 31809 that divides 31809 without a remainder.

1, 3, 23, 69, 461, 1383, 10603

Step-4: Factors of 31823

List of positive integer factors of 31823 that divides 31809 without a remainder.

1, 11, 121, 263, 2893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31809 and 31823. The biggest common factor number is the GCF number.
So the greatest common factor 31809 and 31823 is 1.

Also check out the Least Common Multiple of 31809 and 31823