What is the Greatest Common Factor of 15854 and 15858?

Greatest common factor (GCF) of 15854 and 15858 is 2.

GCF(15854,15858) = 2

We will now calculate the prime factors of 15854 and 15858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15854 and 15858.

How to find the GCF of 15854 and 15858?

We will first find the prime factorization of 15854 and 15858. After we will calculate the factors of 15854 and 15858 and find the biggest common factor number .

Step-1: Prime Factorization of 15854

Prime factors of 15854 are 2, 7927. Prime factorization of 15854 in exponential form is:

15854 = 2¹ × 7927¹

Step-2: Prime Factorization of 15858

Prime factors of 15858 are 2, 3, 881. Prime factorization of 15858 in exponential form is:

15858 = 2¹ × 3² × 881¹

Step-3: Factors of 15854

List of positive integer factors of 15854 that divides 15854 without a remainder.

1, 2, 7927

Step-4: Factors of 15858

List of positive integer factors of 15858 that divides 15854 without a remainder.

1, 2, 3, 6, 9, 18, 881, 1762, 2643, 5286, 7929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15854 and 15858. The biggest common factor number is the GCF number.
So the greatest common factor 15854 and 15858 is 2.

Also check out the Least Common Multiple of 15854 and 15858