What is the Greatest Common Factor of 50271 and 50279?

Greatest common factor (GCF) of 50271 and 50279 is 1.

GCF(50271,50279) = 1

We will now calculate the prime factors of 50271 and 50279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50271 and 50279.

How to find the GCF of 50271 and 50279?

We will first find the prime factorization of 50271 and 50279. After we will calculate the factors of 50271 and 50279 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50279

Prime factors of 50279 are 137, 367. Prime factorization of 50279 in exponential form is:

50279 = 137¹ × 367¹

Step-3: Factors of 50271

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

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

Step-4: Factors of 50279

List of positive integer factors of 50279 that divides 50271 without a remainder.

1, 137, 367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50271 and 50279. The biggest common factor number is the GCF number.
So the greatest common factor 50271 and 50279 is 1.

Also check out the Least Common Multiple of 50271 and 50279