What is the Greatest Common Factor of 25398 and 25407?

Greatest common factor (GCF) of 25398 and 25407 is 9.

GCF(25398,25407) = 9

We will now calculate the prime factors of 25398 and 25407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25398 and 25407.

How to find the GCF of 25398 and 25407?

We will first find the prime factorization of 25398 and 25407. After we will calculate the factors of 25398 and 25407 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 25407

Prime factors of 25407 are 3, 941. Prime factorization of 25407 in exponential form is:

25407 = 3³ × 941¹

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 25407

List of positive integer factors of 25407 that divides 25398 without a remainder.

1, 3, 9, 27, 941, 2823, 8469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25398 and 25407. The biggest common factor number is the GCF number.
So the greatest common factor 25398 and 25407 is 9.

Also check out the Least Common Multiple of 25398 and 25407