What is the Greatest Common Factor of 25874 and 25891?

Greatest common factor (GCF) of 25874 and 25891 is 17.

GCF(25874,25891) = 17

We will now calculate the prime factors of 25874 and 25891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25874 and 25891.

How to find the GCF of 25874 and 25891?

We will first find the prime factorization of 25874 and 25891. After we will calculate the factors of 25874 and 25891 and find the biggest common factor number .

Step-1: Prime Factorization of 25874

Prime factors of 25874 are 2, 17, 761. Prime factorization of 25874 in exponential form is:

25874 = 2¹ × 17¹ × 761¹

Step-2: Prime Factorization of 25891

Prime factors of 25891 are 17, 1523. Prime factorization of 25891 in exponential form is:

25891 = 17¹ × 1523¹

Step-3: Factors of 25874

List of positive integer factors of 25874 that divides 25874 without a remainder.

1, 2, 17, 34, 761, 1522, 12937

Step-4: Factors of 25891

List of positive integer factors of 25891 that divides 25874 without a remainder.

1, 17, 1523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25874 and 25891. The biggest common factor number is the GCF number.
So the greatest common factor 25874 and 25891 is 17.

Also check out the Least Common Multiple of 25874 and 25891