What is the Greatest Common Factor of 25410 and 25424?

Greatest common factor (GCF) of 25410 and 25424 is 14.

GCF(25410,25424) = 14

We will now calculate the prime factors of 25410 and 25424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25410 and 25424.

How to find the GCF of 25410 and 25424?

We will first find the prime factorization of 25410 and 25424. After we will calculate the factors of 25410 and 25424 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25424

Prime factors of 25424 are 2, 7, 227. Prime factorization of 25424 in exponential form is:

25424 = 2⁴ × 7¹ × 227¹

Step-3: Factors of 25410

List of positive integer factors of 25410 that divides 25410 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

Step-4: Factors of 25424

List of positive integer factors of 25424 that divides 25410 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 227, 454, 908, 1589, 1816, 3178, 3632, 6356, 12712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25410 and 25424. The biggest common factor number is the GCF number.
So the greatest common factor 25410 and 25424 is 14.

Also check out the Least Common Multiple of 25410 and 25424