What is the Greatest Common Factor of 15789 and 15807?

Greatest common factor (GCF) of 15789 and 15807 is 3.

GCF(15789,15807) = 3

We will now calculate the prime factors of 15789 and 15807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15789 and 15807.

How to find the GCF of 15789 and 15807?

We will first find the prime factorization of 15789 and 15807. After we will calculate the factors of 15789 and 15807 and find the biggest common factor number .

Step-1: Prime Factorization of 15789

Prime factors of 15789 are 3, 19, 277. Prime factorization of 15789 in exponential form is:

15789 = 3¹ × 19¹ × 277¹

Step-2: Prime Factorization of 15807

Prime factors of 15807 are 3, 11, 479. Prime factorization of 15807 in exponential form is:

15807 = 3¹ × 11¹ × 479¹

Step-3: Factors of 15789

List of positive integer factors of 15789 that divides 15789 without a remainder.

1, 3, 19, 57, 277, 831, 5263

Step-4: Factors of 15807

List of positive integer factors of 15807 that divides 15789 without a remainder.

1, 3, 11, 33, 479, 1437, 5269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15789 and 15807. The biggest common factor number is the GCF number.
So the greatest common factor 15789 and 15807 is 3.

Also check out the Least Common Multiple of 15789 and 15807