What is the Greatest Common Factor of 25893 and 25909?

Greatest common factor (GCF) of 25893 and 25909 is 1.

GCF(25893,25909) = 1

We will now calculate the prime factors of 25893 and 25909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25893 and 25909.

How to find the GCF of 25893 and 25909?

We will first find the prime factorization of 25893 and 25909. After we will calculate the factors of 25893 and 25909 and find the biggest common factor number .

Step-1: Prime Factorization of 25893

Prime factors of 25893 are 3, 7, 137. Prime factorization of 25893 in exponential form is:

25893 = 3³ × 7¹ × 137¹

Step-2: Prime Factorization of 25909

Prime factors of 25909 are 13, 1993. Prime factorization of 25909 in exponential form is:

25909 = 13¹ × 1993¹

Step-3: Factors of 25893

List of positive integer factors of 25893 that divides 25893 without a remainder.

1, 3, 7, 9, 21, 27, 63, 137, 189, 411, 959, 1233, 2877, 3699, 8631

Step-4: Factors of 25909

List of positive integer factors of 25909 that divides 25893 without a remainder.

1, 13, 1993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25893 and 25909. The biggest common factor number is the GCF number.
So the greatest common factor 25893 and 25909 is 1.

Also check out the Least Common Multiple of 25893 and 25909