What is the Greatest Common Factor of 25398 and 25409?

Greatest common factor (GCF) of 25398 and 25409 is 1.

GCF(25398,25409) = 1

We will now calculate the prime factors of 25398 and 25409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25398 and 25409.

How to find the GCF of 25398 and 25409?

We will first find the prime factorization of 25398 and 25409. After we will calculate the factors of 25398 and 25409 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 25409

Prime factors of 25409 are 25409. Prime factorization of 25409 in exponential form is:

25409 = 25409¹

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 25409

List of positive integer factors of 25409 that divides 25398 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25398 and 25409. The biggest common factor number is the GCF number.
So the greatest common factor 25398 and 25409 is 1.

Also check out the Least Common Multiple of 25398 and 25409