What is the Greatest Common Factor of 25466 and 25484?

Greatest common factor (GCF) of 25466 and 25484 is 2.

GCF(25466,25484) = 2

We will now calculate the prime factors of 25466 and 25484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25466 and 25484.

How to find the GCF of 25466 and 25484?

We will first find the prime factorization of 25466 and 25484. After we will calculate the factors of 25466 and 25484 and find the biggest common factor number .

Step-1: Prime Factorization of 25466

Prime factors of 25466 are 2, 7, 17, 107. Prime factorization of 25466 in exponential form is:

25466 = 2¹ × 7¹ × 17¹ × 107¹

Step-2: Prime Factorization of 25484

Prime factors of 25484 are 2, 23, 277. Prime factorization of 25484 in exponential form is:

25484 = 2² × 23¹ × 277¹

Step-3: Factors of 25466

List of positive integer factors of 25466 that divides 25466 without a remainder.

1, 2, 7, 14, 17, 34, 107, 119, 214, 238, 749, 1498, 1819, 3638, 12733

Step-4: Factors of 25484

List of positive integer factors of 25484 that divides 25466 without a remainder.

1, 2, 4, 23, 46, 92, 277, 554, 1108, 6371, 12742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25466 and 25484. The biggest common factor number is the GCF number.
So the greatest common factor 25466 and 25484 is 2.

Also check out the Least Common Multiple of 25466 and 25484