What is the Greatest Common Factor of 38736 and 38740?

Greatest common factor (GCF) of 38736 and 38740 is 4.

GCF(38736,38740) = 4

We will now calculate the prime factors of 38736 and 38740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38736 and 38740.

How to find the GCF of 38736 and 38740?

We will first find the prime factorization of 38736 and 38740. After we will calculate the factors of 38736 and 38740 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 38740

Prime factors of 38740 are 2, 5, 13, 149. Prime factorization of 38740 in exponential form is:

38740 = 2² × 5¹ × 13¹ × 149¹

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 38740

List of positive integer factors of 38740 that divides 38736 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 149, 260, 298, 596, 745, 1490, 1937, 2980, 3874, 7748, 9685, 19370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38736 and 38740. The biggest common factor number is the GCF number.
So the greatest common factor 38736 and 38740 is 4.

Also check out the Least Common Multiple of 38736 and 38740