What is the Greatest Common Factor of 25005 and 25014?

Greatest common factor (GCF) of 25005 and 25014 is 3.

GCF(25005,25014) = 3

We will now calculate the prime factors of 25005 and 25014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25005 and 25014.

How to find the GCF of 25005 and 25014?

We will first find the prime factorization of 25005 and 25014. After we will calculate the factors of 25005 and 25014 and find the biggest common factor number .

Step-1: Prime Factorization of 25005

Prime factors of 25005 are 3, 5, 1667. Prime factorization of 25005 in exponential form is:

25005 = 3¹ × 5¹ × 1667¹

Step-2: Prime Factorization of 25014

Prime factors of 25014 are 2, 3, 11, 379. Prime factorization of 25014 in exponential form is:

25014 = 2¹ × 3¹ × 11¹ × 379¹

Step-3: Factors of 25005

List of positive integer factors of 25005 that divides 25005 without a remainder.

1, 3, 5, 15, 1667, 5001, 8335

Step-4: Factors of 25014

List of positive integer factors of 25014 that divides 25005 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 379, 758, 1137, 2274, 4169, 8338, 12507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25005 and 25014. The biggest common factor number is the GCF number.
So the greatest common factor 25005 and 25014 is 3.

Also check out the Least Common Multiple of 25005 and 25014