What is the Greatest Common Factor of 25338 and 25347?

Greatest common factor (GCF) of 25338 and 25347 is 3.

GCF(25338,25347) = 3

We will now calculate the prime factors of 25338 and 25347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25338 and 25347.

How to find the GCF of 25338 and 25347?

We will first find the prime factorization of 25338 and 25347. After we will calculate the factors of 25338 and 25347 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 25347

Prime factors of 25347 are 3, 7, 17, 71. Prime factorization of 25347 in exponential form is:

25347 = 3¹ × 7¹ × 17¹ × 71¹

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 25347

List of positive integer factors of 25347 that divides 25338 without a remainder.

1, 3, 7, 17, 21, 51, 71, 119, 213, 357, 497, 1207, 1491, 3621, 8449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25338 and 25347. The biggest common factor number is the GCF number.
So the greatest common factor 25338 and 25347 is 3.

Also check out the Least Common Multiple of 25338 and 25347