What is the Greatest Common Factor of 38736 and 38754?

Greatest common factor (GCF) of 38736 and 38754 is 18.

GCF(38736,38754) = 18

We will now calculate the prime factors of 38736 and 38754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38736 and 38754.

How to find the GCF of 38736 and 38754?

We will first find the prime factorization of 38736 and 38754. After we will calculate the factors of 38736 and 38754 and find the biggest common factor number .

Step-1: Prime Factorization of 38736

Prime factors of 38736 are 2, 3, 269. Prime factorization of 38736 in exponential form is:

38736 = 2⁴ × 3² × 269¹

Step-2: Prime Factorization of 38754

Prime factors of 38754 are 2, 3, 2153. Prime factorization of 38754 in exponential form is:

38754 = 2¹ × 3² × 2153¹

Step-3: Factors of 38736

List of positive integer factors of 38736 that divides 38736 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 269, 538, 807, 1076, 1614, 2152, 2421, 3228, 4304, 4842, 6456, 9684, 12912, 19368

Step-4: Factors of 38754

List of positive integer factors of 38754 that divides 38736 without a remainder.

1, 2, 3, 6, 9, 18, 2153, 4306, 6459, 12918, 19377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38736 and 38754. The biggest common factor number is the GCF number.
So the greatest common factor 38736 and 38754 is 18.

Also check out the Least Common Multiple of 38736 and 38754