What is the Greatest Common Factor of 25459 and 25466?

Greatest common factor (GCF) of 25459 and 25466 is 7.

GCF(25459,25466) = 7

We will now calculate the prime factors of 25459 and 25466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25459 and 25466.

How to find the GCF of 25459 and 25466?

We will first find the prime factorization of 25459 and 25466. After we will calculate the factors of 25459 and 25466 and find the biggest common factor number .

Step-1: Prime Factorization of 25459

Prime factors of 25459 are 7, 3637. Prime factorization of 25459 in exponential form is:

25459 = 7¹ × 3637¹

Step-2: 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-3: Factors of 25459

List of positive integer factors of 25459 that divides 25459 without a remainder.

1, 7, 3637

Step-4: Factors of 25466

List of positive integer factors of 25466 that divides 25459 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25459 and 25466. The biggest common factor number is the GCF number.
So the greatest common factor 25459 and 25466 is 7.

Also check out the Least Common Multiple of 25459 and 25466