What is the Greatest Common Factor of 38039 and 38049?

Greatest common factor (GCF) of 38039 and 38049 is 1.

GCF(38039,38049) = 1

We will now calculate the prime factors of 38039 and 38049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38039 and 38049.

How to find the GCF of 38039 and 38049?

We will first find the prime factorization of 38039 and 38049. After we will calculate the factors of 38039 and 38049 and find the biggest common factor number .

Step-1: Prime Factorization of 38039

Prime factors of 38039 are 38039. Prime factorization of 38039 in exponential form is:

38039 = 38039¹

Step-2: Prime Factorization of 38049

Prime factors of 38049 are 3, 11, 1153. Prime factorization of 38049 in exponential form is:

38049 = 3¹ × 11¹ × 1153¹

Step-3: Factors of 38039

List of positive integer factors of 38039 that divides 38039 without a remainder.

Step-4: Factors of 38049

List of positive integer factors of 38049 that divides 38039 without a remainder.

1, 3, 11, 33, 1153, 3459, 12683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38039 and 38049. The biggest common factor number is the GCF number.
So the greatest common factor 38039 and 38049 is 1.

Also check out the Least Common Multiple of 38039 and 38049