What is the Greatest Common Factor of 15874 and 15880?

Greatest common factor (GCF) of 15874 and 15880 is 2.

GCF(15874,15880) = 2

We will now calculate the prime factors of 15874 and 15880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15874 and 15880.

How to find the GCF of 15874 and 15880?

We will first find the prime factorization of 15874 and 15880. After we will calculate the factors of 15874 and 15880 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 15880

Prime factors of 15880 are 2, 5, 397. Prime factorization of 15880 in exponential form is:

15880 = 2³ × 5¹ × 397¹

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 15880

List of positive integer factors of 15880 that divides 15874 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 397, 794, 1588, 1985, 3176, 3970, 7940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15874 and 15880. The biggest common factor number is the GCF number.
So the greatest common factor 15874 and 15880 is 2.

Also check out the Least Common Multiple of 15874 and 15880