What is the Greatest Common Factor of 38565 and 38585?

Greatest common factor (GCF) of 38565 and 38585 is 5.

GCF(38565,38585) = 5

We will now calculate the prime factors of 38565 and 38585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38565 and 38585.

How to find the GCF of 38565 and 38585?

We will first find the prime factorization of 38565 and 38585. After we will calculate the factors of 38565 and 38585 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 38585

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

38585 = 5¹ × 7717¹

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 38585

List of positive integer factors of 38585 that divides 38565 without a remainder.

1, 5, 7717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38565 and 38585. The biggest common factor number is the GCF number.
So the greatest common factor 38565 and 38585 is 5.

Also check out the Least Common Multiple of 38565 and 38585