What is the Greatest Common Factor of 50259 and 50275?

Greatest common factor (GCF) of 50259 and 50275 is 1.

GCF(50259,50275) = 1

We will now calculate the prime factors of 50259 and 50275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50259 and 50275.

How to find the GCF of 50259 and 50275?

We will first find the prime factorization of 50259 and 50275. After we will calculate the factors of 50259 and 50275 and find the biggest common factor number .

Step-1: Prime Factorization of 50259

Prime factors of 50259 are 3, 11, 1523. Prime factorization of 50259 in exponential form is:

50259 = 3¹ × 11¹ × 1523¹

Step-2: Prime Factorization of 50275

Prime factors of 50275 are 5, 2011. Prime factorization of 50275 in exponential form is:

50275 = 5² × 2011¹

Step-3: Factors of 50259

List of positive integer factors of 50259 that divides 50259 without a remainder.

1, 3, 11, 33, 1523, 4569, 16753

Step-4: Factors of 50275

List of positive integer factors of 50275 that divides 50259 without a remainder.

1, 5, 25, 2011, 10055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50259 and 50275. The biggest common factor number is the GCF number.
So the greatest common factor 50259 and 50275 is 1.

Also check out the Least Common Multiple of 50259 and 50275