What is the Greatest Common Factor of 38598 and 38613?

Greatest common factor (GCF) of 38598 and 38613 is 3.

GCF(38598,38613) = 3

We will now calculate the prime factors of 38598 and 38613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38598 and 38613.

How to find the GCF of 38598 and 38613?

We will first find the prime factorization of 38598 and 38613. After we will calculate the factors of 38598 and 38613 and find the biggest common factor number .

Step-1: Prime Factorization of 38598

Prime factors of 38598 are 2, 3, 7, 919. Prime factorization of 38598 in exponential form is:

38598 = 2¹ × 3¹ × 7¹ × 919¹

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 38598

List of positive integer factors of 38598 that divides 38598 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 919, 1838, 2757, 5514, 6433, 12866, 19299

Step-4: Factors of 38613

List of positive integer factors of 38613 that divides 38598 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38598 and 38613. The biggest common factor number is the GCF number.
So the greatest common factor 38598 and 38613 is 3.

Also check out the Least Common Multiple of 38598 and 38613