What is the Greatest Common Factor of 25338 and 25348?

Greatest common factor (GCF) of 25338 and 25348 is 2.

GCF(25338,25348) = 2

We will now calculate the prime factors of 25338 and 25348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25338 and 25348.

How to find the GCF of 25338 and 25348?

We will first find the prime factorization of 25338 and 25348. After we will calculate the factors of 25338 and 25348 and find the biggest common factor number .

Step-1: Prime Factorization of 25338

Prime factors of 25338 are 2, 3, 41, 103. Prime factorization of 25338 in exponential form is:

25338 = 2¹ × 3¹ × 41¹ × 103¹

Step-2: Prime Factorization of 25348

Prime factors of 25348 are 2, 6337. Prime factorization of 25348 in exponential form is:

25348 = 2² × 6337¹

Step-3: Factors of 25338

List of positive integer factors of 25338 that divides 25338 without a remainder.

1, 2, 3, 6, 41, 82, 103, 123, 206, 246, 309, 618, 4223, 8446, 12669

Step-4: Factors of 25348

List of positive integer factors of 25348 that divides 25338 without a remainder.

1, 2, 4, 6337, 12674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25338 and 25348. The biggest common factor number is the GCF number.
So the greatest common factor 25338 and 25348 is 2.

Also check out the Least Common Multiple of 25338 and 25348