What is the Greatest Common Factor of 50058 and 50073?

Greatest common factor (GCF) of 50058 and 50073 is 3.

GCF(50058,50073) = 3

We will now calculate the prime factors of 50058 and 50073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50058 and 50073.

How to find the GCF of 50058 and 50073?

We will first find the prime factorization of 50058 and 50073. After we will calculate the factors of 50058 and 50073 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50073

Prime factors of 50073 are 3, 16691. Prime factorization of 50073 in exponential form is:

50073 = 3¹ × 16691¹

Step-3: Factors of 50058

List of positive integer factors of 50058 that divides 50058 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

Step-4: Factors of 50073

List of positive integer factors of 50073 that divides 50058 without a remainder.

1, 3, 16691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50058 and 50073. The biggest common factor number is the GCF number.
So the greatest common factor 50058 and 50073 is 3.

Also check out the Least Common Multiple of 50058 and 50073