What is the Greatest Common Factor of 31809 and 31813?

Greatest common factor (GCF) of 31809 and 31813 is 1.

GCF(31809,31813) = 1

We will now calculate the prime factors of 31809 and 31813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31809 and 31813.

How to find the GCF of 31809 and 31813?

We will first find the prime factorization of 31809 and 31813. After we will calculate the factors of 31809 and 31813 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 31813

Prime factors of 31813 are 29, 1097. Prime factorization of 31813 in exponential form is:

31813 = 29¹ × 1097¹

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 31813

List of positive integer factors of 31813 that divides 31809 without a remainder.

1, 29, 1097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31809 and 31813. The biggest common factor number is the GCF number.
So the greatest common factor 31809 and 31813 is 1.

Also check out the Least Common Multiple of 31809 and 31813