What is the Greatest Common Factor of 25020 and 25025?

Greatest common factor (GCF) of 25020 and 25025 is 5.

GCF(25020,25025) = 5

We will now calculate the prime factors of 25020 and 25025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25020 and 25025.

How to find the GCF of 25020 and 25025?

We will first find the prime factorization of 25020 and 25025. After we will calculate the factors of 25020 and 25025 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 25025

Prime factors of 25025 are 5, 7, 11, 13. Prime factorization of 25025 in exponential form is:

25025 = 5² × 7¹ × 11¹ × 13¹

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 25025

List of positive integer factors of 25025 that divides 25020 without a remainder.

1, 5, 7, 11, 13, 25, 35, 55, 65, 77, 91, 143, 175, 275, 325, 385, 455, 715, 1001, 1925, 2275, 3575, 5005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25020 and 25025. The biggest common factor number is the GCF number.
So the greatest common factor 25020 and 25025 is 5.

Also check out the Least Common Multiple of 25020 and 25025