What is the Greatest Common Factor of 25386 and 25404?

Greatest common factor (GCF) of 25386 and 25404 is 6.

GCF(25386,25404) = 6

We will now calculate the prime factors of 25386 and 25404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25386 and 25404.

How to find the GCF of 25386 and 25404?

We will first find the prime factorization of 25386 and 25404. After we will calculate the factors of 25386 and 25404 and find the biggest common factor number .

Step-1: Prime Factorization of 25386

Prime factors of 25386 are 2, 3, 4231. Prime factorization of 25386 in exponential form is:

25386 = 2¹ × 3¹ × 4231¹

Step-2: Prime Factorization of 25404

Prime factors of 25404 are 2, 3, 29, 73. Prime factorization of 25404 in exponential form is:

25404 = 2² × 3¹ × 29¹ × 73¹

Step-3: Factors of 25386

List of positive integer factors of 25386 that divides 25386 without a remainder.

1, 2, 3, 6, 4231, 8462, 12693

Step-4: Factors of 25404

List of positive integer factors of 25404 that divides 25386 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 73, 87, 116, 146, 174, 219, 292, 348, 438, 876, 2117, 4234, 6351, 8468, 12702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25386 and 25404. The biggest common factor number is the GCF number.
So the greatest common factor 25386 and 25404 is 6.

Also check out the Least Common Multiple of 25386 and 25404