What is the Greatest Common Factor of 25338 and 25354?

Greatest common factor (GCF) of 25338 and 25354 is 2.

GCF(25338,25354) = 2

We will now calculate the prime factors of 25338 and 25354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25338 and 25354.

How to find the GCF of 25338 and 25354?

We will first find the prime factorization of 25338 and 25354. After we will calculate the factors of 25338 and 25354 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 25354

Prime factors of 25354 are 2, 7, 1811. Prime factorization of 25354 in exponential form is:

25354 = 2¹ × 7¹ × 1811¹

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 25354

List of positive integer factors of 25354 that divides 25338 without a remainder.

1, 2, 7, 14, 1811, 3622, 12677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25338 and 25354. The biggest common factor number is the GCF number.
So the greatest common factor 25338 and 25354 is 2.

Also check out the Least Common Multiple of 25338 and 25354