What is the Greatest Common Factor of 15810 and 15814?

Greatest common factor (GCF) of 15810 and 15814 is 2.

GCF(15810,15814) = 2

We will now calculate the prime factors of 15810 and 15814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15810 and 15814.

How to find the GCF of 15810 and 15814?

We will first find the prime factorization of 15810 and 15814. After we will calculate the factors of 15810 and 15814 and find the biggest common factor number .

Step-1: Prime Factorization of 15810

Prime factors of 15810 are 2, 3, 5, 17, 31. Prime factorization of 15810 in exponential form is:

15810 = 2¹ × 3¹ × 5¹ × 17¹ × 31¹

Step-2: Prime Factorization of 15814

Prime factors of 15814 are 2, 7907. Prime factorization of 15814 in exponential form is:

15814 = 2¹ × 7907¹

Step-3: Factors of 15810

List of positive integer factors of 15810 that divides 15810 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 31, 34, 51, 62, 85, 93, 102, 155, 170, 186, 255, 310, 465, 510, 527, 930, 1054, 1581, 2635, 3162, 5270, 7905

Step-4: Factors of 15814

List of positive integer factors of 15814 that divides 15810 without a remainder.

1, 2, 7907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15810 and 15814. The biggest common factor number is the GCF number.
So the greatest common factor 15810 and 15814 is 2.

Also check out the Least Common Multiple of 15810 and 15814