What is the Greatest Common Factor of 25398 and 25410?

Greatest common factor (GCF) of 25398 and 25410 is 6.

GCF(25398,25410) = 6

We will now calculate the prime factors of 25398 and 25410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25398 and 25410.

How to find the GCF of 25398 and 25410?

We will first find the prime factorization of 25398 and 25410. After we will calculate the factors of 25398 and 25410 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 25410

Prime factors of 25410 are 2, 3, 5, 7, 11. Prime factorization of 25410 in exponential form is:

25410 = 2¹ × 3¹ × 5¹ × 7¹ × 11²

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 25410

List of positive integer factors of 25410 that divides 25398 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 121, 154, 165, 210, 231, 242, 330, 363, 385, 462, 605, 726, 770, 847, 1155, 1210, 1694, 1815, 2310, 2541, 3630, 4235, 5082, 8470, 12705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25398 and 25410. The biggest common factor number is the GCF number.
So the greatest common factor 25398 and 25410 is 6.

Also check out the Least Common Multiple of 25398 and 25410