What is the Greatest Common Factor of 25938 and 25949?

Greatest common factor (GCF) of 25938 and 25949 is 11.

GCF(25938,25949) = 11

We will now calculate the prime factors of 25938 and 25949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25938 and 25949.

How to find the GCF of 25938 and 25949?

We will first find the prime factorization of 25938 and 25949. After we will calculate the factors of 25938 and 25949 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 25949

Prime factors of 25949 are 7, 11, 337. Prime factorization of 25949 in exponential form is:

25949 = 7¹ × 11¹ × 337¹

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 25949

List of positive integer factors of 25949 that divides 25938 without a remainder.

1, 7, 11, 77, 337, 2359, 3707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25938 and 25949. The biggest common factor number is the GCF number.
So the greatest common factor 25938 and 25949 is 11.

Also check out the Least Common Multiple of 25938 and 25949