What is the Greatest Common Factor of 38736 and 38748?

Greatest common factor (GCF) of 38736 and 38748 is 12.

GCF(38736,38748) = 12

We will now calculate the prime factors of 38736 and 38748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38736 and 38748.

How to find the GCF of 38736 and 38748?

We will first find the prime factorization of 38736 and 38748. After we will calculate the factors of 38736 and 38748 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 38748

Prime factors of 38748 are 2, 3, 3229. Prime factorization of 38748 in exponential form is:

38748 = 2² × 3¹ × 3229¹

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 38748

List of positive integer factors of 38748 that divides 38736 without a remainder.

1, 2, 3, 4, 6, 12, 3229, 6458, 9687, 12916, 19374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38736 and 38748. The biggest common factor number is the GCF number.
So the greatest common factor 38736 and 38748 is 12.

Also check out the Least Common Multiple of 38736 and 38748