What is the Greatest Common Factor of 25909 and 25926?

Greatest common factor (GCF) of 25909 and 25926 is 1.

GCF(25909,25926) = 1

We will now calculate the prime factors of 25909 and 25926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25909 and 25926.

How to find the GCF of 25909 and 25926?

We will first find the prime factorization of 25909 and 25926. After we will calculate the factors of 25909 and 25926 and find the biggest common factor number .

Step-1: Prime Factorization of 25909

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

25909 = 13¹ × 1993¹

Step-2: Prime Factorization of 25926

Prime factors of 25926 are 2, 3, 29, 149. Prime factorization of 25926 in exponential form is:

25926 = 2¹ × 3¹ × 29¹ × 149¹

Step-3: Factors of 25909

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

1, 13, 1993

Step-4: Factors of 25926

List of positive integer factors of 25926 that divides 25909 without a remainder.

1, 2, 3, 6, 29, 58, 87, 149, 174, 298, 447, 894, 4321, 8642, 12963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25909 and 25926. The biggest common factor number is the GCF number.
So the greatest common factor 25909 and 25926 is 1.

Also check out the Least Common Multiple of 25909 and 25926