What is the Greatest Common Factor of 38040 and 38044?

Greatest common factor (GCF) of 38040 and 38044 is 4.

GCF(38040,38044) = 4

We will now calculate the prime factors of 38040 and 38044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38040 and 38044.

How to find the GCF of 38040 and 38044?

We will first find the prime factorization of 38040 and 38044. After we will calculate the factors of 38040 and 38044 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 38044

Prime factors of 38044 are 2, 9511. Prime factorization of 38044 in exponential form is:

38044 = 2² × 9511¹

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 38044

List of positive integer factors of 38044 that divides 38040 without a remainder.

1, 2, 4, 9511, 19022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38040 and 38044. The biggest common factor number is the GCF number.
So the greatest common factor 38040 and 38044 is 4.

Also check out the Least Common Multiple of 38040 and 38044