What is the Greatest Common Factor of 25989 and 26007?

Greatest common factor (GCF) of 25989 and 26007 is 3.

GCF(25989,26007) = 3

We will now calculate the prime factors of 25989 and 26007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25989 and 26007.

How to find the GCF of 25989 and 26007?

We will first find the prime factorization of 25989 and 26007. After we will calculate the factors of 25989 and 26007 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 26007

Prime factors of 26007 are 3, 8669. Prime factorization of 26007 in exponential form is:

26007 = 3¹ × 8669¹

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 26007

List of positive integer factors of 26007 that divides 25989 without a remainder.

1, 3, 8669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25989 and 26007. The biggest common factor number is the GCF number.
So the greatest common factor 25989 and 26007 is 3.

Also check out the Least Common Multiple of 25989 and 26007