What is the Greatest Common Factor of 15874 and 15886?

Greatest common factor (GCF) of 15874 and 15886 is 2.

GCF(15874,15886) = 2

We will now calculate the prime factors of 15874 and 15886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15874 and 15886.

How to find the GCF of 15874 and 15886?

We will first find the prime factorization of 15874 and 15886. After we will calculate the factors of 15874 and 15886 and find the biggest common factor number .

Step-1: Prime Factorization of 15874

Prime factors of 15874 are 2, 7937. Prime factorization of 15874 in exponential form is:

15874 = 2¹ × 7937¹

Step-2: Prime Factorization of 15886

Prime factors of 15886 are 2, 13, 47. Prime factorization of 15886 in exponential form is:

15886 = 2¹ × 13² × 47¹

Step-3: Factors of 15874

List of positive integer factors of 15874 that divides 15874 without a remainder.

1, 2, 7937

Step-4: Factors of 15886

List of positive integer factors of 15886 that divides 15874 without a remainder.

1, 2, 13, 26, 47, 94, 169, 338, 611, 1222, 7943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15874 and 15886. The biggest common factor number is the GCF number.
So the greatest common factor 15874 and 15886 is 2.

Also check out the Least Common Multiple of 15874 and 15886