What is the Greatest Common Factor of 50259 and 50271?

Greatest common factor (GCF) of 50259 and 50271 is 3.

GCF(50259,50271) = 3

We will now calculate the prime factors of 50259 and 50271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50259 and 50271.

How to find the GCF of 50259 and 50271?

We will first find the prime factorization of 50259 and 50271. After we will calculate the factors of 50259 and 50271 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 50271

Prime factors of 50271 are 3, 13, 1289. Prime factorization of 50271 in exponential form is:

50271 = 3¹ × 13¹ × 1289¹

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 50271

List of positive integer factors of 50271 that divides 50259 without a remainder.

1, 3, 13, 39, 1289, 3867, 16757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50259 and 50271. The biggest common factor number is the GCF number.
So the greatest common factor 50259 and 50271 is 3.

Also check out the Least Common Multiple of 50259 and 50271