What is the Greatest Common Factor of 38040 and 38048?

Greatest common factor (GCF) of 38040 and 38048 is 8.

GCF(38040,38048) = 8

We will now calculate the prime factors of 38040 and 38048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38040 and 38048.

How to find the GCF of 38040 and 38048?

We will first find the prime factorization of 38040 and 38048. After we will calculate the factors of 38040 and 38048 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 38048

Prime factors of 38048 are 2, 29, 41. Prime factorization of 38048 in exponential form is:

38048 = 2⁵ × 29¹ × 41¹

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 38048

List of positive integer factors of 38048 that divides 38040 without a remainder.

1, 2, 4, 8, 16, 29, 32, 41, 58, 82, 116, 164, 232, 328, 464, 656, 928, 1189, 1312, 2378, 4756, 9512, 19024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38040 and 38048. The biggest common factor number is the GCF number.
So the greatest common factor 38040 and 38048 is 8.

Also check out the Least Common Multiple of 38040 and 38048