What is the Greatest Common Factor of 50138 and 50149?

Greatest common factor (GCF) of 50138 and 50149 is 11.

GCF(50138,50149) = 11

We will now calculate the prime factors of 50138 and 50149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50138 and 50149.

How to find the GCF of 50138 and 50149?

We will first find the prime factorization of 50138 and 50149. After we will calculate the factors of 50138 and 50149 and find the biggest common factor number .

Step-1: Prime Factorization of 50138

Prime factors of 50138 are 2, 11, 43, 53. Prime factorization of 50138 in exponential form is:

50138 = 2¹ × 11¹ × 43¹ × 53¹

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 50138

List of positive integer factors of 50138 that divides 50138 without a remainder.

1, 2, 11, 22, 43, 53, 86, 106, 473, 583, 946, 1166, 2279, 4558, 25069

Step-4: Factors of 50149

List of positive integer factors of 50149 that divides 50138 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50138 and 50149. The biggest common factor number is the GCF number.
So the greatest common factor 50138 and 50149 is 11.

Also check out the Least Common Multiple of 50138 and 50149