What is the Greatest Common Factor of 25835 and 25851?

Greatest common factor (GCF) of 25835 and 25851 is 1.

GCF(25835,25851) = 1

We will now calculate the prime factors of 25835 and 25851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25835 and 25851.

How to find the GCF of 25835 and 25851?

We will first find the prime factorization of 25835 and 25851. After we will calculate the factors of 25835 and 25851 and find the biggest common factor number .

Step-1: Prime Factorization of 25835

Prime factors of 25835 are 5, 5167. Prime factorization of 25835 in exponential form is:

25835 = 5¹ × 5167¹

Step-2: Prime Factorization of 25851

Prime factors of 25851 are 3, 7, 1231. Prime factorization of 25851 in exponential form is:

25851 = 3¹ × 7¹ × 1231¹

Step-3: Factors of 25835

List of positive integer factors of 25835 that divides 25835 without a remainder.

1, 5, 5167

Step-4: Factors of 25851

List of positive integer factors of 25851 that divides 25835 without a remainder.

1, 3, 7, 21, 1231, 3693, 8617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25835 and 25851. The biggest common factor number is the GCF number.
So the greatest common factor 25835 and 25851 is 1.

Also check out the Least Common Multiple of 25835 and 25851