What is the Greatest Common Factor of 10819 and 10831?

Greatest common factor (GCF) of 10819 and 10831 is 1.

GCF(10819,10831) = 1

We will now calculate the prime factors of 10819 and 10831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10819 and 10831.

How to find the GCF of 10819 and 10831?

We will first find the prime factorization of 10819 and 10831. After we will calculate the factors of 10819 and 10831 and find the biggest common factor number .

Step-1: Prime Factorization of 10819

Prime factors of 10819 are 31, 349. Prime factorization of 10819 in exponential form is:

10819 = 31¹ × 349¹

Step-2: Prime Factorization of 10831

Prime factors of 10831 are 10831. Prime factorization of 10831 in exponential form is:

10831 = 10831¹

Step-3: Factors of 10819

List of positive integer factors of 10819 that divides 10819 without a remainder.

1, 31, 349

Step-4: Factors of 10831

List of positive integer factors of 10831 that divides 10819 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10819 and 10831. The biggest common factor number is the GCF number.
So the greatest common factor 10819 and 10831 is 1.

Also check out the Least Common Multiple of 10819 and 10831