What is the Greatest Common Factor of 25478 and 25498?

Greatest common factor (GCF) of 25478 and 25498 is 2.

GCF(25478,25498) = 2

We will now calculate the prime factors of 25478 and 25498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25478 and 25498.

How to find the GCF of 25478 and 25498?

We will first find the prime factorization of 25478 and 25498. After we will calculate the factors of 25478 and 25498 and find the biggest common factor number .

Step-1: Prime Factorization of 25478

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

25478 = 2¹ × 12739¹

Step-2: Prime Factorization of 25498

Prime factors of 25498 are 2, 11, 19, 61. Prime factorization of 25498 in exponential form is:

25498 = 2¹ × 11¹ × 19¹ × 61¹

Step-3: Factors of 25478

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

1, 2, 12739

Step-4: Factors of 25498

List of positive integer factors of 25498 that divides 25478 without a remainder.

1, 2, 11, 19, 22, 38, 61, 122, 209, 418, 671, 1159, 1342, 2318, 12749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25478 and 25498. The biggest common factor number is the GCF number.
So the greatest common factor 25478 and 25498 is 2.

Also check out the Least Common Multiple of 25478 and 25498