What is the Greatest Common Factor of 50141 and 50154?

Greatest common factor (GCF) of 50141 and 50154 is 13.

GCF(50141,50154) = 13

We will now calculate the prime factors of 50141 and 50154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50141 and 50154.

How to find the GCF of 50141 and 50154?

We will first find the prime factorization of 50141 and 50154. After we will calculate the factors of 50141 and 50154 and find the biggest common factor number .

Step-1: Prime Factorization of 50141

Prime factors of 50141 are 7, 13, 19, 29. Prime factorization of 50141 in exponential form is:

50141 = 7¹ × 13¹ × 19¹ × 29¹

Step-2: Prime Factorization of 50154

Prime factors of 50154 are 2, 3, 13, 643. Prime factorization of 50154 in exponential form is:

50154 = 2¹ × 3¹ × 13¹ × 643¹

Step-3: Factors of 50141

List of positive integer factors of 50141 that divides 50141 without a remainder.

1, 7, 13, 19, 29, 91, 133, 203, 247, 377, 551, 1729, 2639, 3857, 7163

Step-4: Factors of 50154

List of positive integer factors of 50154 that divides 50141 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 643, 1286, 1929, 3858, 8359, 16718, 25077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50141 and 50154. The biggest common factor number is the GCF number.
So the greatest common factor 50141 and 50154 is 13.

Also check out the Least Common Multiple of 50141 and 50154