What is the Greatest Common Factor of 15794 and 15814?

Greatest common factor (GCF) of 15794 and 15814 is 2.

GCF(15794,15814) = 2

We will now calculate the prime factors of 15794 and 15814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15794 and 15814.

How to find the GCF of 15794 and 15814?

We will first find the prime factorization of 15794 and 15814. After we will calculate the factors of 15794 and 15814 and find the biggest common factor number .

Step-1: Prime Factorization of 15794

Prime factors of 15794 are 2, 53, 149. Prime factorization of 15794 in exponential form is:

15794 = 2¹ × 53¹ × 149¹

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 15794

List of positive integer factors of 15794 that divides 15794 without a remainder.

1, 2, 53, 106, 149, 298, 7897

Step-4: Factors of 15814

List of positive integer factors of 15814 that divides 15794 without a remainder.

1, 2, 7907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15794 and 15814. The biggest common factor number is the GCF number.
So the greatest common factor 15794 and 15814 is 2.

Also check out the Least Common Multiple of 15794 and 15814