What is the Greatest Common Factor of 25717 and 25729?

Greatest common factor (GCF) of 25717 and 25729 is 1.

GCF(25717,25729) = 1

We will now calculate the prime factors of 25717 and 25729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25717 and 25729.

How to find the GCF of 25717 and 25729?

We will first find the prime factorization of 25717 and 25729. After we will calculate the factors of 25717 and 25729 and find the biggest common factor number .

Step-1: Prime Factorization of 25717

Prime factors of 25717 are 25717. Prime factorization of 25717 in exponential form is:

25717 = 25717¹

Step-2: Prime Factorization of 25729

Prime factors of 25729 are 11, 2339. Prime factorization of 25729 in exponential form is:

25729 = 11¹ × 2339¹

Step-3: Factors of 25717

List of positive integer factors of 25717 that divides 25717 without a remainder.

Step-4: Factors of 25729

List of positive integer factors of 25729 that divides 25717 without a remainder.

1, 11, 2339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25717 and 25729. The biggest common factor number is the GCF number.
So the greatest common factor 25717 and 25729 is 1.

Also check out the Least Common Multiple of 25717 and 25729