What is the Greatest Common Factor of 25398 and 25415?

Greatest common factor (GCF) of 25398 and 25415 is 17.

GCF(25398,25415) = 17

We will now calculate the prime factors of 25398 and 25415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25398 and 25415.

How to find the GCF of 25398 and 25415?

We will first find the prime factorization of 25398 and 25415. After we will calculate the factors of 25398 and 25415 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 25415

Prime factors of 25415 are 5, 13, 17, 23. Prime factorization of 25415 in exponential form is:

25415 = 5¹ × 13¹ × 17¹ × 23¹

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 25415

List of positive integer factors of 25415 that divides 25398 without a remainder.

1, 5, 13, 17, 23, 65, 85, 115, 221, 299, 391, 1105, 1495, 1955, 5083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25398 and 25415. The biggest common factor number is the GCF number.
So the greatest common factor 25398 and 25415 is 17.

Also check out the Least Common Multiple of 25398 and 25415