What is the Greatest Common Factor of 50259 and 50267?

Greatest common factor (GCF) of 50259 and 50267 is 1.

GCF(50259,50267) = 1

We will now calculate the prime factors of 50259 and 50267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50259 and 50267.

How to find the GCF of 50259 and 50267?

We will first find the prime factorization of 50259 and 50267. After we will calculate the factors of 50259 and 50267 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 50267

Prime factors of 50267 are 7, 43, 167. Prime factorization of 50267 in exponential form is:

50267 = 7¹ × 43¹ × 167¹

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 50267

List of positive integer factors of 50267 that divides 50259 without a remainder.

1, 7, 43, 167, 301, 1169, 7181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50259 and 50267. The biggest common factor number is the GCF number.
So the greatest common factor 50259 and 50267 is 1.

Also check out the Least Common Multiple of 50259 and 50267