What is the Greatest Common Factor of 38565 and 38571?

Greatest common factor (GCF) of 38565 and 38571 is 3.

GCF(38565,38571) = 3

We will now calculate the prime factors of 38565 and 38571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38565 and 38571.

How to find the GCF of 38565 and 38571?

We will first find the prime factorization of 38565 and 38571. After we will calculate the factors of 38565 and 38571 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 38571

Prime factors of 38571 are 3, 13, 23, 43. Prime factorization of 38571 in exponential form is:

38571 = 3¹ × 13¹ × 23¹ × 43¹

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 38571

List of positive integer factors of 38571 that divides 38565 without a remainder.

1, 3, 13, 23, 39, 43, 69, 129, 299, 559, 897, 989, 1677, 2967, 12857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38565 and 38571. The biggest common factor number is the GCF number.
So the greatest common factor 38565 and 38571 is 3.

Also check out the Least Common Multiple of 38565 and 38571