What is the Greatest Common Factor of 15813 and 15831?

Greatest common factor (GCF) of 15813 and 15831 is 9.

GCF(15813,15831) = 9

We will now calculate the prime factors of 15813 and 15831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15813 and 15831.

How to find the GCF of 15813 and 15831?

We will first find the prime factorization of 15813 and 15831. After we will calculate the factors of 15813 and 15831 and find the biggest common factor number .

Step-1: Prime Factorization of 15813

Prime factors of 15813 are 3, 7, 251. Prime factorization of 15813 in exponential form is:

15813 = 3² × 7¹ × 251¹

Step-2: Prime Factorization of 15831

Prime factors of 15831 are 3, 1759. Prime factorization of 15831 in exponential form is:

15831 = 3² × 1759¹

Step-3: Factors of 15813

List of positive integer factors of 15813 that divides 15813 without a remainder.

1, 3, 7, 9, 21, 63, 251, 753, 1757, 2259, 5271

Step-4: Factors of 15831

List of positive integer factors of 15831 that divides 15813 without a remainder.

1, 3, 9, 1759, 5277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15813 and 15831. The biggest common factor number is the GCF number.
So the greatest common factor 15813 and 15831 is 9.

Also check out the Least Common Multiple of 15813 and 15831