What is the Greatest Common Factor of 25989 and 26001?

Greatest common factor (GCF) of 25989 and 26001 is 3.

GCF(25989,26001) = 3

We will now calculate the prime factors of 25989 and 26001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25989 and 26001.

How to find the GCF of 25989 and 26001?

We will first find the prime factorization of 25989 and 26001. After we will calculate the factors of 25989 and 26001 and find the biggest common factor number .

Step-1: Prime Factorization of 25989

Prime factors of 25989 are 3, 8663. Prime factorization of 25989 in exponential form is:

25989 = 3¹ × 8663¹

Step-2: Prime Factorization of 26001

Prime factors of 26001 are 3, 107. Prime factorization of 26001 in exponential form is:

26001 = 3⁵ × 107¹

Step-3: Factors of 25989

List of positive integer factors of 25989 that divides 25989 without a remainder.

1, 3, 8663

Step-4: Factors of 26001

List of positive integer factors of 26001 that divides 25989 without a remainder.

1, 3, 9, 27, 81, 107, 243, 321, 963, 2889, 8667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25989 and 26001. The biggest common factor number is the GCF number.
So the greatest common factor 25989 and 26001 is 3.

Also check out the Least Common Multiple of 25989 and 26001