What is the Greatest Common Factor of 38021 and 38034?

Greatest common factor (GCF) of 38021 and 38034 is 1.

GCF(38021,38034) = 1

We will now calculate the prime factors of 38021 and 38034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38021 and 38034.

How to find the GCF of 38021 and 38034?

We will first find the prime factorization of 38021 and 38034. After we will calculate the factors of 38021 and 38034 and find the biggest common factor number .

Step-1: Prime Factorization of 38021

Prime factors of 38021 are 193, 197. Prime factorization of 38021 in exponential form is:

38021 = 193¹ × 197¹

Step-2: 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-3: Factors of 38021

List of positive integer factors of 38021 that divides 38021 without a remainder.

1, 193, 197

Step-4: Factors of 38034

List of positive integer factors of 38034 that divides 38021 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38021 and 38034. The biggest common factor number is the GCF number.
So the greatest common factor 38021 and 38034 is 1.

Also check out the Least Common Multiple of 38021 and 38034