What is the Greatest Common Factor of 25020 and 25035?

Greatest common factor (GCF) of 25020 and 25035 is 15.

GCF(25020,25035) = 15

We will now calculate the prime factors of 25020 and 25035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25020 and 25035.

How to find the GCF of 25020 and 25035?

We will first find the prime factorization of 25020 and 25035. After we will calculate the factors of 25020 and 25035 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25035

Prime factors of 25035 are 3, 5, 1669. Prime factorization of 25035 in exponential form is:

25035 = 3¹ × 5¹ × 1669¹

Step-3: Factors of 25020

List of positive integer factors of 25020 that divides 25020 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

Step-4: Factors of 25035

List of positive integer factors of 25035 that divides 25020 without a remainder.

1, 3, 5, 15, 1669, 5007, 8345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25020 and 25035. The biggest common factor number is the GCF number.
So the greatest common factor 25020 and 25035 is 15.

Also check out the Least Common Multiple of 25020 and 25035