What is the Greatest Common Factor of 48038 and 48058?

Greatest common factor (GCF) of 48038 and 48058 is 2.

GCF(48038,48058) = 2

We will now calculate the prime factors of 48038 and 48058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48038 and 48058.

How to find the GCF of 48038 and 48058?

We will first find the prime factorization of 48038 and 48058. After we will calculate the factors of 48038 and 48058 and find the biggest common factor number .

Step-1: Prime Factorization of 48038

Prime factors of 48038 are 2, 24019. Prime factorization of 48038 in exponential form is:

48038 = 2¹ × 24019¹

Step-2: Prime Factorization of 48058

Prime factors of 48058 are 2, 24029. Prime factorization of 48058 in exponential form is:

48058 = 2¹ × 24029¹

Step-3: Factors of 48038

List of positive integer factors of 48038 that divides 48038 without a remainder.

1, 2, 24019

Step-4: Factors of 48058

List of positive integer factors of 48058 that divides 48038 without a remainder.

1, 2, 24029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48038 and 48058. The biggest common factor number is the GCF number.
So the greatest common factor 48038 and 48058 is 2.

Also check out the Least Common Multiple of 48038 and 48058