What is the Greatest Common Factor of 38040 and 38049?

Greatest common factor (GCF) of 38040 and 38049 is 3.

GCF(38040,38049) = 3

We will now calculate the prime factors of 38040 and 38049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38040 and 38049.

How to find the GCF of 38040 and 38049?

We will first find the prime factorization of 38040 and 38049. After we will calculate the factors of 38040 and 38049 and find the biggest common factor number .

Step-1: Prime Factorization of 38040

Prime factors of 38040 are 2, 3, 5, 317. Prime factorization of 38040 in exponential form is:

38040 = 2³ × 3¹ × 5¹ × 317¹

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 38040

List of positive integer factors of 38040 that divides 38040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 317, 634, 951, 1268, 1585, 1902, 2536, 3170, 3804, 4755, 6340, 7608, 9510, 12680, 19020

Step-4: Factors of 38049

List of positive integer factors of 38049 that divides 38040 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38040 and 38049. The biggest common factor number is the GCF number.
So the greatest common factor 38040 and 38049 is 3.

Also check out the Least Common Multiple of 38040 and 38049