What is the Greatest Common Factor of 15854 and 15870?

Greatest common factor (GCF) of 15854 and 15870 is 2.

GCF(15854,15870) = 2

We will now calculate the prime factors of 15854 and 15870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15854 and 15870.

How to find the GCF of 15854 and 15870?

We will first find the prime factorization of 15854 and 15870. After we will calculate the factors of 15854 and 15870 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 15870

Prime factors of 15870 are 2, 3, 5, 23. Prime factorization of 15870 in exponential form is:

15870 = 2¹ × 3¹ × 5¹ × 23²

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 15870

List of positive integer factors of 15870 that divides 15854 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 529, 690, 1058, 1587, 2645, 3174, 5290, 7935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15854 and 15870. The biggest common factor number is the GCF number.
So the greatest common factor 15854 and 15870 is 2.

Also check out the Least Common Multiple of 15854 and 15870