What is the Greatest Common Factor of 38736 and 38749?

Greatest common factor (GCF) of 38736 and 38749 is 1.

GCF(38736,38749) = 1

We will now calculate the prime factors of 38736 and 38749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38736 and 38749.

How to find the GCF of 38736 and 38749?

We will first find the prime factorization of 38736 and 38749. After we will calculate the factors of 38736 and 38749 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 38749

Prime factors of 38749 are 38749. Prime factorization of 38749 in exponential form is:

38749 = 38749¹

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 38749

List of positive integer factors of 38749 that divides 38736 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38736 and 38749. The biggest common factor number is the GCF number.
So the greatest common factor 38736 and 38749 is 1.

Also check out the Least Common Multiple of 38736 and 38749