What is the Greatest Common Factor of 25398 and 25413?

Greatest common factor (GCF) of 25398 and 25413 is 3.

GCF(25398,25413) = 3

We will now calculate the prime factors of 25398 and 25413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25398 and 25413.

How to find the GCF of 25398 and 25413?

We will first find the prime factorization of 25398 and 25413. After we will calculate the factors of 25398 and 25413 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 25413

Prime factors of 25413 are 3, 43, 197. Prime factorization of 25413 in exponential form is:

25413 = 3¹ × 43¹ × 197¹

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 25413

List of positive integer factors of 25413 that divides 25398 without a remainder.

1, 3, 43, 129, 197, 591, 8471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25398 and 25413. The biggest common factor number is the GCF number.
So the greatest common factor 25398 and 25413 is 3.

Also check out the Least Common Multiple of 25398 and 25413