What is the Greatest Common Factor of 50025 and 50033?

Greatest common factor (GCF) of 50025 and 50033 is 1.

GCF(50025,50033) = 1

We will now calculate the prime factors of 50025 and 50033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50025 and 50033.

How to find the GCF of 50025 and 50033?

We will first find the prime factorization of 50025 and 50033. After we will calculate the factors of 50025 and 50033 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 50033

Prime factors of 50033 are 50033. Prime factorization of 50033 in exponential form is:

50033 = 50033¹

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 50033

List of positive integer factors of 50033 that divides 50025 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50025 and 50033. The biggest common factor number is the GCF number.
So the greatest common factor 50025 and 50033 is 1.

Also check out the Least Common Multiple of 50025 and 50033