What is the Greatest Common Factor of 25922 and 25938?

Greatest common factor (GCF) of 25922 and 25938 is 2.

GCF(25922,25938) = 2

We will now calculate the prime factors of 25922 and 25938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25922 and 25938.

How to find the GCF of 25922 and 25938?

We will first find the prime factorization of 25922 and 25938. After we will calculate the factors of 25922 and 25938 and find the biggest common factor number .

Step-1: Prime Factorization of 25922

Prime factors of 25922 are 2, 13, 997. Prime factorization of 25922 in exponential form is:

25922 = 2¹ × 13¹ × 997¹

Step-2: 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-3: Factors of 25922

List of positive integer factors of 25922 that divides 25922 without a remainder.

1, 2, 13, 26, 997, 1994, 12961

Step-4: Factors of 25938

List of positive integer factors of 25938 that divides 25922 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25922 and 25938. The biggest common factor number is the GCF number.
So the greatest common factor 25922 and 25938 is 2.

Also check out the Least Common Multiple of 25922 and 25938