What is the Greatest Common Factor of 38016 and 38028?

Greatest common factor (GCF) of 38016 and 38028 is 12.

GCF(38016,38028) = 12

We will now calculate the prime factors of 38016 and 38028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38016 and 38028.

How to find the GCF of 38016 and 38028?

We will first find the prime factorization of 38016 and 38028. After we will calculate the factors of 38016 and 38028 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 38028

Prime factors of 38028 are 2, 3, 3169. Prime factorization of 38028 in exponential form is:

38028 = 2² × 3¹ × 3169¹

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 38028

List of positive integer factors of 38028 that divides 38016 without a remainder.

1, 2, 3, 4, 6, 12, 3169, 6338, 9507, 12676, 19014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38016 and 38028. The biggest common factor number is the GCF number.
So the greatest common factor 38016 and 38028 is 12.

Also check out the Least Common Multiple of 38016 and 38028