What is the Greatest Common Factor of 50054 and 50058?

Greatest common factor (GCF) of 50054 and 50058 is 2.

GCF(50054,50058) = 2

We will now calculate the prime factors of 50054 and 50058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50054 and 50058.

How to find the GCF of 50054 and 50058?

We will first find the prime factorization of 50054 and 50058. After we will calculate the factors of 50054 and 50058 and find the biggest common factor number .

Step-1: Prime Factorization of 50054

Prime factors of 50054 are 2, 29, 863. Prime factorization of 50054 in exponential form is:

50054 = 2¹ × 29¹ × 863¹

Step-2: Prime Factorization of 50058

Prime factors of 50058 are 2, 3, 103. Prime factorization of 50058 in exponential form is:

50058 = 2¹ × 3⁵ × 103¹

Step-3: Factors of 50054

List of positive integer factors of 50054 that divides 50054 without a remainder.

1, 2, 29, 58, 863, 1726, 25027

Step-4: Factors of 50058

List of positive integer factors of 50058 that divides 50054 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 103, 162, 206, 243, 309, 486, 618, 927, 1854, 2781, 5562, 8343, 16686, 25029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50054 and 50058. The biggest common factor number is the GCF number.
So the greatest common factor 50054 and 50058 is 2.

Also check out the Least Common Multiple of 50054 and 50058