What is the Greatest Common Factor of 38565 and 38575?

Greatest common factor (GCF) of 38565 and 38575 is 5.

GCF(38565,38575) = 5

We will now calculate the prime factors of 38565 and 38575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38565 and 38575.

How to find the GCF of 38565 and 38575?

We will first find the prime factorization of 38565 and 38575. After we will calculate the factors of 38565 and 38575 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 38575

Prime factors of 38575 are 5, 1543. Prime factorization of 38575 in exponential form is:

38575 = 5² × 1543¹

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 38575

List of positive integer factors of 38575 that divides 38565 without a remainder.

1, 5, 25, 1543, 7715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38565 and 38575. The biggest common factor number is the GCF number.
So the greatest common factor 38565 and 38575 is 5.

Also check out the Least Common Multiple of 38565 and 38575