What is the Greatest Common Factor of 50005 and 50025?

Greatest common factor (GCF) of 50005 and 50025 is 5.

GCF(50005,50025) = 5

We will now calculate the prime factors of 50005 and 50025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50005 and 50025.

How to find the GCF of 50005 and 50025?

We will first find the prime factorization of 50005 and 50025. After we will calculate the factors of 50005 and 50025 and find the biggest common factor number .

Step-1: Prime Factorization of 50005

Prime factors of 50005 are 5, 73, 137. Prime factorization of 50005 in exponential form is:

50005 = 5¹ × 73¹ × 137¹

Step-2: 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-3: Factors of 50005

List of positive integer factors of 50005 that divides 50005 without a remainder.

1, 5, 73, 137, 365, 685, 10001

Step-4: Factors of 50025

List of positive integer factors of 50025 that divides 50005 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50005 and 50025. The biggest common factor number is the GCF number.
So the greatest common factor 50005 and 50025 is 5.

Also check out the Least Common Multiple of 50005 and 50025