What is the Greatest Common Factor of 50025 and 50040?

Greatest common factor (GCF) of 50025 and 50040 is 15.

GCF(50025,50040) = 15

We will now calculate the prime factors of 50025 and 50040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50025 and 50040.

How to find the GCF of 50025 and 50040?

We will first find the prime factorization of 50025 and 50040. After we will calculate the factors of 50025 and 50040 and find the biggest common factor number .

Step-1: Prime Factorization of 50025

Prime factors of 50025 are 3, 5, 23, 29. Prime factorization of 50025 in exponential form is:

50025 = 3¹ × 5² × 23¹ × 29¹

Step-2: Prime Factorization of 50040

Prime factors of 50040 are 2, 3, 5, 139. Prime factorization of 50040 in exponential form is:

50040 = 2³ × 3² × 5¹ × 139¹

Step-3: Factors of 50025

List of positive integer factors of 50025 that divides 50025 without a remainder.

1, 3, 5, 15, 23, 25, 29, 69, 75, 87, 115, 145, 345, 435, 575, 667, 725, 1725, 2001, 2175, 3335, 10005, 16675

Step-4: Factors of 50040

List of positive integer factors of 50040 that divides 50025 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 139, 180, 278, 360, 417, 556, 695, 834, 1112, 1251, 1390, 1668, 2085, 2502, 2780, 3336, 4170, 5004, 5560, 6255, 8340, 10008, 12510, 16680, 25020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50025 and 50040. The biggest common factor number is the GCF number.
So the greatest common factor 50025 and 50040 is 15.

Also check out the Least Common Multiple of 50025 and 50040