What is the Greatest Common Factor of 25395 and 25410?

Greatest common factor (GCF) of 25395 and 25410 is 15.

GCF(25395,25410) = 15

We will now calculate the prime factors of 25395 and 25410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25395 and 25410.

How to find the GCF of 25395 and 25410?

We will first find the prime factorization of 25395 and 25410. After we will calculate the factors of 25395 and 25410 and find the biggest common factor number .

Step-1: Prime Factorization of 25395

Prime factors of 25395 are 3, 5, 1693. Prime factorization of 25395 in exponential form is:

25395 = 3¹ × 5¹ × 1693¹

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 25395

List of positive integer factors of 25395 that divides 25395 without a remainder.

1, 3, 5, 15, 1693, 5079, 8465

Step-4: Factors of 25410

List of positive integer factors of 25410 that divides 25395 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 25395 and 25410. The biggest common factor number is the GCF number.
So the greatest common factor 25395 and 25410 is 15.

Also check out the Least Common Multiple of 25395 and 25410