What is the Greatest Common Factor of 25381 and 25398?

Greatest common factor (GCF) of 25381 and 25398 is 17.

GCF(25381,25398) = 17

We will now calculate the prime factors of 25381 and 25398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25381 and 25398.

How to find the GCF of 25381 and 25398?

We will first find the prime factorization of 25381 and 25398. After we will calculate the factors of 25381 and 25398 and find the biggest common factor number .

Step-1: Prime Factorization of 25381

Prime factors of 25381 are 17, 1493. Prime factorization of 25381 in exponential form is:

25381 = 17¹ × 1493¹

Step-2: 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-3: Factors of 25381

List of positive integer factors of 25381 that divides 25381 without a remainder.

1, 17, 1493

Step-4: Factors of 25398

List of positive integer factors of 25398 that divides 25381 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25381 and 25398. The biggest common factor number is the GCF number.
So the greatest common factor 25381 and 25398 is 17.

Also check out the Least Common Multiple of 25381 and 25398