What is the Greatest Common Factor of 38565 and 38580?

Greatest common factor (GCF) of 38565 and 38580 is 15.

GCF(38565,38580) = 15

We will now calculate the prime factors of 38565 and 38580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38565 and 38580.

How to find the GCF of 38565 and 38580?

We will first find the prime factorization of 38565 and 38580. After we will calculate the factors of 38565 and 38580 and find the biggest common factor number .

Step-1: Prime Factorization of 38565

Prime factors of 38565 are 3, 5, 857. Prime factorization of 38565 in exponential form is:

38565 = 3² × 5¹ × 857¹

Step-2: 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-3: Factors of 38565

List of positive integer factors of 38565 that divides 38565 without a remainder.

1, 3, 5, 9, 15, 45, 857, 2571, 4285, 7713, 12855

Step-4: Factors of 38580

List of positive integer factors of 38580 that divides 38565 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38565 and 38580. The biggest common factor number is the GCF number.
So the greatest common factor 38565 and 38580 is 15.

Also check out the Least Common Multiple of 38565 and 38580