What is the Greatest Common Factor of 25005 and 25020?

Greatest common factor (GCF) of 25005 and 25020 is 15.

GCF(25005,25020) = 15

We will now calculate the prime factors of 25005 and 25020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25005 and 25020.

How to find the GCF of 25005 and 25020?

We will first find the prime factorization of 25005 and 25020. After we will calculate the factors of 25005 and 25020 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 25020

Prime factors of 25020 are 2, 3, 5, 139. Prime factorization of 25020 in exponential form is:

25020 = 2² × 3² × 5¹ × 139¹

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 25020

List of positive integer factors of 25020 that divides 25005 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 139, 180, 278, 417, 556, 695, 834, 1251, 1390, 1668, 2085, 2502, 2780, 4170, 5004, 6255, 8340, 12510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25005 and 25020. The biggest common factor number is the GCF number.
So the greatest common factor 25005 and 25020 is 15.

Also check out the Least Common Multiple of 25005 and 25020