What is the Greatest Common Factor of 38008 and 38016?

Greatest common factor (GCF) of 38008 and 38016 is 8.

GCF(38008,38016) = 8

We will now calculate the prime factors of 38008 and 38016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38008 and 38016.

How to find the GCF of 38008 and 38016?

We will first find the prime factorization of 38008 and 38016. After we will calculate the factors of 38008 and 38016 and find the biggest common factor number .

Step-1: Prime Factorization of 38008

Prime factors of 38008 are 2, 4751. Prime factorization of 38008 in exponential form is:

38008 = 2³ × 4751¹

Step-2: Prime Factorization of 38016

Prime factors of 38016 are 2, 3, 11. Prime factorization of 38016 in exponential form is:

38016 = 2⁷ × 3³ × 11¹

Step-3: Factors of 38008

List of positive integer factors of 38008 that divides 38008 without a remainder.

1, 2, 4, 8, 4751, 9502, 19004

Step-4: Factors of 38016

List of positive integer factors of 38016 that divides 38008 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 64, 66, 72, 88, 96, 99, 108, 128, 132, 144, 176, 192, 198, 216, 264, 288, 297, 352, 384, 396, 432, 528, 576, 594, 704, 792, 864, 1056, 1152, 1188, 1408, 1584, 1728, 2112, 2376, 3168, 3456, 4224, 4752, 6336, 9504, 12672, 19008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38008 and 38016. The biggest common factor number is the GCF number.
So the greatest common factor 38008 and 38016 is 8.

Also check out the Least Common Multiple of 38008 and 38016