What is the Greatest Common Factor of 50309 and 50327?

Greatest common factor (GCF) of 50309 and 50327 is 1.

GCF(50309,50327) = 1

We will now calculate the prime factors of 50309 and 50327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50309 and 50327.

How to find the GCF of 50309 and 50327?

We will first find the prime factorization of 50309 and 50327. After we will calculate the factors of 50309 and 50327 and find the biggest common factor number .

Step-1: Prime Factorization of 50309

Prime factors of 50309 are 7, 7187. Prime factorization of 50309 in exponential form is:

50309 = 7¹ × 7187¹

Step-2: Prime Factorization of 50327

Prime factors of 50327 are 59, 853. Prime factorization of 50327 in exponential form is:

50327 = 59¹ × 853¹

Step-3: Factors of 50309

List of positive integer factors of 50309 that divides 50309 without a remainder.

1, 7, 7187

Step-4: Factors of 50327

List of positive integer factors of 50327 that divides 50309 without a remainder.

1, 59, 853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50309 and 50327. The biggest common factor number is the GCF number.
So the greatest common factor 50309 and 50327 is 1.

Also check out the Least Common Multiple of 50309 and 50327