What is the Greatest Common Factor of 38730 and 38736?

Greatest common factor (GCF) of 38730 and 38736 is 6.

GCF(38730,38736) = 6

We will now calculate the prime factors of 38730 and 38736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38730 and 38736.

How to find the GCF of 38730 and 38736?

We will first find the prime factorization of 38730 and 38736. After we will calculate the factors of 38730 and 38736 and find the biggest common factor number .

Step-1: Prime Factorization of 38730

Prime factors of 38730 are 2, 3, 5, 1291. Prime factorization of 38730 in exponential form is:

38730 = 2¹ × 3¹ × 5¹ × 1291¹

Step-2: 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-3: Factors of 38730

List of positive integer factors of 38730 that divides 38730 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1291, 2582, 3873, 6455, 7746, 12910, 19365

Step-4: Factors of 38736

List of positive integer factors of 38736 that divides 38730 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38730 and 38736. The biggest common factor number is the GCF number.
So the greatest common factor 38730 and 38736 is 6.

Also check out the Least Common Multiple of 38730 and 38736