What is the Greatest Common Factor of 38016 and 38034?

Greatest common factor (GCF) of 38016 and 38034 is 18.

GCF(38016,38034) = 18

We will now calculate the prime factors of 38016 and 38034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38016 and 38034.

How to find the GCF of 38016 and 38034?

We will first find the prime factorization of 38016 and 38034. After we will calculate the factors of 38016 and 38034 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38034

Prime factors of 38034 are 2, 3, 2113. Prime factorization of 38034 in exponential form is:

38034 = 2¹ × 3² × 2113¹

Step-3: Factors of 38016

List of positive integer factors of 38016 that divides 38016 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

Step-4: Factors of 38034

List of positive integer factors of 38034 that divides 38016 without a remainder.

1, 2, 3, 6, 9, 18, 2113, 4226, 6339, 12678, 19017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38016 and 38034. The biggest common factor number is the GCF number.
So the greatest common factor 38016 and 38034 is 18.

Also check out the Least Common Multiple of 38016 and 38034