What is the Greatest Common Factor of 38580 and 38585?

Greatest common factor (GCF) of 38580 and 38585 is 5.

GCF(38580,38585) = 5

We will now calculate the prime factors of 38580 and 38585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38580 and 38585.

How to find the GCF of 38580 and 38585?

We will first find the prime factorization of 38580 and 38585. After we will calculate the factors of 38580 and 38585 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 38585

Prime factors of 38585 are 5, 7717. Prime factorization of 38585 in exponential form is:

38585 = 5¹ × 7717¹

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 38585

List of positive integer factors of 38585 that divides 38580 without a remainder.

1, 5, 7717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38580 and 38585. The biggest common factor number is the GCF number.
So the greatest common factor 38580 and 38585 is 5.

Also check out the Least Common Multiple of 38580 and 38585