What is the Greatest Common Factor of 38509 and 38519?

Greatest common factor (GCF) of 38509 and 38519 is 1.

GCF(38509,38519) = 1

We will now calculate the prime factors of 38509 and 38519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38509 and 38519.

How to find the GCF of 38509 and 38519?

We will first find the prime factorization of 38509 and 38519. After we will calculate the factors of 38509 and 38519 and find the biggest common factor number .

Step-1: Prime Factorization of 38509

Prime factors of 38509 are 97, 397. Prime factorization of 38509 in exponential form is:

38509 = 97¹ × 397¹

Step-2: Prime Factorization of 38519

Prime factors of 38519 are 13, 2963. Prime factorization of 38519 in exponential form is:

38519 = 13¹ × 2963¹

Step-3: Factors of 38509

List of positive integer factors of 38509 that divides 38509 without a remainder.

1, 97, 397

Step-4: Factors of 38519

List of positive integer factors of 38519 that divides 38509 without a remainder.

1, 13, 2963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38509 and 38519. The biggest common factor number is the GCF number.
So the greatest common factor 38509 and 38519 is 1.

Also check out the Least Common Multiple of 38509 and 38519