What is the Greatest Common Factor of 38051 and 38058?

Greatest common factor (GCF) of 38051 and 38058 is 1.

GCF(38051,38058) = 1

We will now calculate the prime factors of 38051 and 38058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38051 and 38058.

How to find the GCF of 38051 and 38058?

We will first find the prime factorization of 38051 and 38058. After we will calculate the factors of 38051 and 38058 and find the biggest common factor number .

Step-1: Prime Factorization of 38051

Prime factors of 38051 are 13, 2927. Prime factorization of 38051 in exponential form is:

38051 = 13¹ × 2927¹

Step-2: Prime Factorization of 38058

Prime factors of 38058 are 2, 3, 6343. Prime factorization of 38058 in exponential form is:

38058 = 2¹ × 3¹ × 6343¹

Step-3: Factors of 38051

List of positive integer factors of 38051 that divides 38051 without a remainder.

1, 13, 2927

Step-4: Factors of 38058

List of positive integer factors of 38058 that divides 38051 without a remainder.

1, 2, 3, 6, 6343, 12686, 19029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38051 and 38058. The biggest common factor number is the GCF number.
So the greatest common factor 38051 and 38058 is 1.

Also check out the Least Common Multiple of 38051 and 38058