What is the Greatest Common Factor of 38034 and 38049?

Greatest common factor (GCF) of 38034 and 38049 is 3.

GCF(38034,38049) = 3

We will now calculate the prime factors of 38034 and 38049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38034 and 38049.

How to find the GCF of 38034 and 38049?

We will first find the prime factorization of 38034 and 38049. After we will calculate the factors of 38034 and 38049 and find the biggest common factor number .

Step-1: Prime Factorization of 38034

Prime factors of 38034 are 2, 3, 2113. Prime factorization of 38034 in exponential form is:

38034 = 2¹ × 3² × 2113¹

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 38034

List of positive integer factors of 38034 that divides 38034 without a remainder.

1, 2, 3, 6, 9, 18, 2113, 4226, 6339, 12678, 19017

Step-4: Factors of 38049

List of positive integer factors of 38049 that divides 38034 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38034 and 38049. The biggest common factor number is the GCF number.
So the greatest common factor 38034 and 38049 is 3.

Also check out the Least Common Multiple of 38034 and 38049