What is the Greatest Common Factor of 25398 and 25412?

Greatest common factor (GCF) of 25398 and 25412 is 2.

GCF(25398,25412) = 2

We will now calculate the prime factors of 25398 and 25412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25398 and 25412.

How to find the GCF of 25398 and 25412?

We will first find the prime factorization of 25398 and 25412. After we will calculate the factors of 25398 and 25412 and find the biggest common factor number .

Step-1: Prime Factorization of 25398

Prime factors of 25398 are 2, 3, 17, 83. Prime factorization of 25398 in exponential form is:

25398 = 2¹ × 3² × 17¹ × 83¹

Step-2: Prime Factorization of 25412

Prime factors of 25412 are 2, 6353. Prime factorization of 25412 in exponential form is:

25412 = 2² × 6353¹

Step-3: Factors of 25398

List of positive integer factors of 25398 that divides 25398 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 83, 102, 153, 166, 249, 306, 498, 747, 1411, 1494, 2822, 4233, 8466, 12699

Step-4: Factors of 25412

List of positive integer factors of 25412 that divides 25398 without a remainder.

1, 2, 4, 6353, 12706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25398 and 25412. The biggest common factor number is the GCF number.
So the greatest common factor 25398 and 25412 is 2.

Also check out the Least Common Multiple of 25398 and 25412