What is the Greatest Common Factor of 38484 and 38491?

Greatest common factor (GCF) of 38484 and 38491 is 1.

GCF(38484,38491) = 1

We will now calculate the prime factors of 38484 and 38491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38484 and 38491.

How to find the GCF of 38484 and 38491?

We will first find the prime factorization of 38484 and 38491. After we will calculate the factors of 38484 and 38491 and find the biggest common factor number .

Step-1: Prime Factorization of 38484

Prime factors of 38484 are 2, 3, 1069. Prime factorization of 38484 in exponential form is:

38484 = 2² × 3² × 1069¹

Step-2: Prime Factorization of 38491

Prime factors of 38491 are 61, 631. Prime factorization of 38491 in exponential form is:

38491 = 61¹ × 631¹

Step-3: Factors of 38484

List of positive integer factors of 38484 that divides 38484 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1069, 2138, 3207, 4276, 6414, 9621, 12828, 19242

Step-4: Factors of 38491

List of positive integer factors of 38491 that divides 38484 without a remainder.

1, 61, 631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38484 and 38491. The biggest common factor number is the GCF number.
So the greatest common factor 38484 and 38491 is 1.

Also check out the Least Common Multiple of 38484 and 38491