What is the Greatest Common Factor of 25338 and 25356?

Greatest common factor (GCF) of 25338 and 25356 is 6.

GCF(25338,25356) = 6

We will now calculate the prime factors of 25338 and 25356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25338 and 25356.

How to find the GCF of 25338 and 25356?

We will first find the prime factorization of 25338 and 25356. After we will calculate the factors of 25338 and 25356 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 25356

Prime factors of 25356 are 2, 3, 2113. Prime factorization of 25356 in exponential form is:

25356 = 2² × 3¹ × 2113¹

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 25356

List of positive integer factors of 25356 that divides 25338 without a remainder.

1, 2, 3, 4, 6, 12, 2113, 4226, 6339, 8452, 12678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25338 and 25356. The biggest common factor number is the GCF number.
So the greatest common factor 25338 and 25356 is 6.

Also check out the Least Common Multiple of 25338 and 25356