What is the Greatest Common Factor of 38580 and 38592?

Greatest common factor (GCF) of 38580 and 38592 is 12.

GCF(38580,38592) = 12

We will now calculate the prime factors of 38580 and 38592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38580 and 38592.

How to find the GCF of 38580 and 38592?

We will first find the prime factorization of 38580 and 38592. After we will calculate the factors of 38580 and 38592 and find the biggest common factor number .

Step-1: Prime Factorization of 38580

Prime factors of 38580 are 2, 3, 5, 643. Prime factorization of 38580 in exponential form is:

38580 = 2² × 3¹ × 5¹ × 643¹

Step-2: Prime Factorization of 38592

Prime factors of 38592 are 2, 3, 67. Prime factorization of 38592 in exponential form is:

38592 = 2⁶ × 3² × 67¹

Step-3: Factors of 38580

List of positive integer factors of 38580 that divides 38580 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 643, 1286, 1929, 2572, 3215, 3858, 6430, 7716, 9645, 12860, 19290

Step-4: Factors of 38592

List of positive integer factors of 38592 that divides 38580 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 67, 72, 96, 134, 144, 192, 201, 268, 288, 402, 536, 576, 603, 804, 1072, 1206, 1608, 2144, 2412, 3216, 4288, 4824, 6432, 9648, 12864, 19296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38580 and 38592. The biggest common factor number is the GCF number.
So the greatest common factor 38580 and 38592 is 12.

Also check out the Least Common Multiple of 38580 and 38592