What is the Greatest Common Factor of 50143 and 50149?

Greatest common factor (GCF) of 50143 and 50149 is 1.

GCF(50143,50149) = 1

We will now calculate the prime factors of 50143 and 50149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50143 and 50149.

How to find the GCF of 50143 and 50149?

We will first find the prime factorization of 50143 and 50149. After we will calculate the factors of 50143 and 50149 and find the biggest common factor number .

Step-1: Prime Factorization of 50143

Prime factors of 50143 are 41, 1223. Prime factorization of 50143 in exponential form is:

50143 = 41¹ × 1223¹

Step-2: Prime Factorization of 50149

Prime factors of 50149 are 11, 47, 97. Prime factorization of 50149 in exponential form is:

50149 = 11¹ × 47¹ × 97¹

Step-3: Factors of 50143

List of positive integer factors of 50143 that divides 50143 without a remainder.

1, 41, 1223

Step-4: Factors of 50149

List of positive integer factors of 50149 that divides 50143 without a remainder.

1, 11, 47, 97, 517, 1067, 4559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50143 and 50149. The biggest common factor number is the GCF number.
So the greatest common factor 50143 and 50149 is 1.

Also check out the Least Common Multiple of 50143 and 50149