What is the Greatest Common Factor of 25926 and 25941?

Greatest common factor (GCF) of 25926 and 25941 is 3.

GCF(25926,25941) = 3

We will now calculate the prime factors of 25926 and 25941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25926 and 25941.

How to find the GCF of 25926 and 25941?

We will first find the prime factorization of 25926 and 25941. After we will calculate the factors of 25926 and 25941 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25941

Prime factors of 25941 are 3, 8647. Prime factorization of 25941 in exponential form is:

25941 = 3¹ × 8647¹

Step-3: Factors of 25926

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

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

Step-4: Factors of 25941

List of positive integer factors of 25941 that divides 25926 without a remainder.

1, 3, 8647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25926 and 25941. The biggest common factor number is the GCF number.
So the greatest common factor 25926 and 25941 is 3.

Also check out the Least Common Multiple of 25926 and 25941