What is the Greatest Common Factor of 50123 and 50138?

Greatest common factor (GCF) of 50123 and 50138 is 1.

GCF(50123,50138) = 1

We will now calculate the prime factors of 50123 and 50138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50123 and 50138.

How to find the GCF of 50123 and 50138?

We will first find the prime factorization of 50123 and 50138. After we will calculate the factors of 50123 and 50138 and find the biggest common factor number .

Step-1: Prime Factorization of 50123

Prime factors of 50123 are 50123. Prime factorization of 50123 in exponential form is:

50123 = 50123¹

Step-2: 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-3: Factors of 50123

List of positive integer factors of 50123 that divides 50123 without a remainder.

Step-4: Factors of 50138

List of positive integer factors of 50138 that divides 50123 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50123 and 50138. The biggest common factor number is the GCF number.
So the greatest common factor 50123 and 50138 is 1.

Also check out the Least Common Multiple of 50123 and 50138