What is the Greatest Common Factor of 25835 and 25850?

Greatest common factor (GCF) of 25835 and 25850 is 5.

GCF(25835,25850) = 5

We will now calculate the prime factors of 25835 and 25850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25835 and 25850.

How to find the GCF of 25835 and 25850?

We will first find the prime factorization of 25835 and 25850. After we will calculate the factors of 25835 and 25850 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 25850

Prime factors of 25850 are 2, 5, 11, 47. Prime factorization of 25850 in exponential form is:

25850 = 2¹ × 5² × 11¹ × 47¹

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 25850

List of positive integer factors of 25850 that divides 25835 without a remainder.

1, 2, 5, 10, 11, 22, 25, 47, 50, 55, 94, 110, 235, 275, 470, 517, 550, 1034, 1175, 2350, 2585, 5170, 12925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25835 and 25850. The biggest common factor number is the GCF number.
So the greatest common factor 25835 and 25850 is 5.

Also check out the Least Common Multiple of 25835 and 25850