What is the Greatest Common Factor of 25398 and 25416?

Greatest common factor (GCF) of 25398 and 25416 is 18.

GCF(25398,25416) = 18

We will now calculate the prime factors of 25398 and 25416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25398 and 25416.

How to find the GCF of 25398 and 25416?

We will first find the prime factorization of 25398 and 25416. After we will calculate the factors of 25398 and 25416 and find the biggest common factor number .

Step-1: Prime Factorization of 25398

Prime factors of 25398 are 2, 3, 17, 83. Prime factorization of 25398 in exponential form is:

25398 = 2¹ × 3² × 17¹ × 83¹

Step-2: Prime Factorization of 25416

Prime factors of 25416 are 2, 3, 353. Prime factorization of 25416 in exponential form is:

25416 = 2³ × 3² × 353¹

Step-3: Factors of 25398

List of positive integer factors of 25398 that divides 25398 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 83, 102, 153, 166, 249, 306, 498, 747, 1411, 1494, 2822, 4233, 8466, 12699

Step-4: Factors of 25416

List of positive integer factors of 25416 that divides 25398 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 353, 706, 1059, 1412, 2118, 2824, 3177, 4236, 6354, 8472, 12708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25398 and 25416. The biggest common factor number is the GCF number.
So the greatest common factor 25398 and 25416 is 18.

Also check out the Least Common Multiple of 25398 and 25416