What is the Greatest Common Factor of 15814 and 15818?

Greatest common factor (GCF) of 15814 and 15818 is 2.

GCF(15814,15818) = 2

We will now calculate the prime factors of 15814 and 15818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15814 and 15818.

How to find the GCF of 15814 and 15818?

We will first find the prime factorization of 15814 and 15818. After we will calculate the factors of 15814 and 15818 and find the biggest common factor number .

Step-1: Prime Factorization of 15814

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

15814 = 2¹ × 7907¹

Step-2: Prime Factorization of 15818

Prime factors of 15818 are 2, 11, 719. Prime factorization of 15818 in exponential form is:

15818 = 2¹ × 11¹ × 719¹

Step-3: Factors of 15814

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

1, 2, 7907

Step-4: Factors of 15818

List of positive integer factors of 15818 that divides 15814 without a remainder.

1, 2, 11, 22, 719, 1438, 7909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15814 and 15818. The biggest common factor number is the GCF number.
So the greatest common factor 15814 and 15818 is 2.

Also check out the Least Common Multiple of 15814 and 15818