What is the Greatest Common Factor of 25707 and 25713?

Greatest common factor (GCF) of 25707 and 25713 is 3.

GCF(25707,25713) = 3

We will now calculate the prime factors of 25707 and 25713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25707 and 25713.

How to find the GCF of 25707 and 25713?

We will first find the prime factorization of 25707 and 25713. After we will calculate the factors of 25707 and 25713 and find the biggest common factor number .

Step-1: Prime Factorization of 25707

Prime factors of 25707 are 3, 11, 19, 41. Prime factorization of 25707 in exponential form is:

25707 = 3¹ × 11¹ × 19¹ × 41¹

Step-2: Prime Factorization of 25713

Prime factors of 25713 are 3, 2857. Prime factorization of 25713 in exponential form is:

25713 = 3² × 2857¹

Step-3: Factors of 25707

List of positive integer factors of 25707 that divides 25707 without a remainder.

1, 3, 11, 19, 33, 41, 57, 123, 209, 451, 627, 779, 1353, 2337, 8569

Step-4: Factors of 25713

List of positive integer factors of 25713 that divides 25707 without a remainder.

1, 3, 9, 2857, 8571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25707 and 25713. The biggest common factor number is the GCF number.
So the greatest common factor 25707 and 25713 is 3.

Also check out the Least Common Multiple of 25707 and 25713