What is the Greatest Common Factor of 15835 and 15853?

Greatest common factor (GCF) of 15835 and 15853 is 1.

GCF(15835,15853) = 1

We will now calculate the prime factors of 15835 and 15853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15835 and 15853.

How to find the GCF of 15835 and 15853?

We will first find the prime factorization of 15835 and 15853. After we will calculate the factors of 15835 and 15853 and find the biggest common factor number .

Step-1: Prime Factorization of 15835

Prime factors of 15835 are 5, 3167. Prime factorization of 15835 in exponential form is:

15835 = 5¹ × 3167¹

Step-2: Prime Factorization of 15853

Prime factors of 15853 are 83, 191. Prime factorization of 15853 in exponential form is:

15853 = 83¹ × 191¹

Step-3: Factors of 15835

List of positive integer factors of 15835 that divides 15835 without a remainder.

1, 5, 3167

Step-4: Factors of 15853

List of positive integer factors of 15853 that divides 15835 without a remainder.

1, 83, 191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15835 and 15853. The biggest common factor number is the GCF number.
So the greatest common factor 15835 and 15853 is 1.

Also check out the Least Common Multiple of 15835 and 15853