What is the Greatest Common Factor of 25460 and 25478?

Greatest common factor (GCF) of 25460 and 25478 is 2.

GCF(25460,25478) = 2

We will now calculate the prime factors of 25460 and 25478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25460 and 25478.

How to find the GCF of 25460 and 25478?

We will first find the prime factorization of 25460 and 25478. After we will calculate the factors of 25460 and 25478 and find the biggest common factor number .

Step-1: Prime Factorization of 25460

Prime factors of 25460 are 2, 5, 19, 67. Prime factorization of 25460 in exponential form is:

25460 = 2² × 5¹ × 19¹ × 67¹

Step-2: Prime Factorization of 25478

Prime factors of 25478 are 2, 12739. Prime factorization of 25478 in exponential form is:

25478 = 2¹ × 12739¹

Step-3: Factors of 25460

List of positive integer factors of 25460 that divides 25460 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 67, 76, 95, 134, 190, 268, 335, 380, 670, 1273, 1340, 2546, 5092, 6365, 12730

Step-4: Factors of 25478

List of positive integer factors of 25478 that divides 25460 without a remainder.

1, 2, 12739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25460 and 25478. The biggest common factor number is the GCF number.
So the greatest common factor 25460 and 25478 is 2.

Also check out the Least Common Multiple of 25460 and 25478