What is the Greatest Common Factor of 25938 and 25954?

Greatest common factor (GCF) of 25938 and 25954 is 2.

GCF(25938,25954) = 2

We will now calculate the prime factors of 25938 and 25954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25938 and 25954.

How to find the GCF of 25938 and 25954?

We will first find the prime factorization of 25938 and 25954. After we will calculate the factors of 25938 and 25954 and find the biggest common factor number .

Step-1: Prime Factorization of 25938

Prime factors of 25938 are 2, 3, 11, 131. Prime factorization of 25938 in exponential form is:

25938 = 2¹ × 3² × 11¹ × 131¹

Step-2: Prime Factorization of 25954

Prime factors of 25954 are 2, 19, 683. Prime factorization of 25954 in exponential form is:

25954 = 2¹ × 19¹ × 683¹

Step-3: Factors of 25938

List of positive integer factors of 25938 that divides 25938 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 131, 198, 262, 393, 786, 1179, 1441, 2358, 2882, 4323, 8646, 12969

Step-4: Factors of 25954

List of positive integer factors of 25954 that divides 25938 without a remainder.

1, 2, 19, 38, 683, 1366, 12977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25938 and 25954. The biggest common factor number is the GCF number.
So the greatest common factor 25938 and 25954 is 2.

Also check out the Least Common Multiple of 25938 and 25954