What is the Greatest Common Factor of 38595 and 38613?

Greatest common factor (GCF) of 38595 and 38613 is 3.

GCF(38595,38613) = 3

We will now calculate the prime factors of 38595 and 38613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38595 and 38613.

How to find the GCF of 38595 and 38613?

We will first find the prime factorization of 38595 and 38613. After we will calculate the factors of 38595 and 38613 and find the biggest common factor number .

Step-1: Prime Factorization of 38595

Prime factors of 38595 are 3, 5, 31, 83. Prime factorization of 38595 in exponential form is:

38595 = 3¹ × 5¹ × 31¹ × 83¹

Step-2: Prime Factorization of 38613

Prime factors of 38613 are 3, 61, 211. Prime factorization of 38613 in exponential form is:

38613 = 3¹ × 61¹ × 211¹

Step-3: Factors of 38595

List of positive integer factors of 38595 that divides 38595 without a remainder.

1, 3, 5, 15, 31, 83, 93, 155, 249, 415, 465, 1245, 2573, 7719, 12865

Step-4: Factors of 38613

List of positive integer factors of 38613 that divides 38595 without a remainder.

1, 3, 61, 183, 211, 633, 12871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38595 and 38613. The biggest common factor number is the GCF number.
So the greatest common factor 38595 and 38613 is 3.

Also check out the Least Common Multiple of 38595 and 38613