What is the Greatest Common Factor of 38506 and 38519?

Greatest common factor (GCF) of 38506 and 38519 is 13.

GCF(38506,38519) = 13

We will now calculate the prime factors of 38506 and 38519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38506 and 38519.

How to find the GCF of 38506 and 38519?

We will first find the prime factorization of 38506 and 38519. After we will calculate the factors of 38506 and 38519 and find the biggest common factor number .

Step-1: Prime Factorization of 38506

Prime factors of 38506 are 2, 13, 1481. Prime factorization of 38506 in exponential form is:

38506 = 2¹ × 13¹ × 1481¹

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 38506

List of positive integer factors of 38506 that divides 38506 without a remainder.

1, 2, 13, 26, 1481, 2962, 19253

Step-4: Factors of 38519

List of positive integer factors of 38519 that divides 38506 without a remainder.

1, 13, 2963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38506 and 38519. The biggest common factor number is the GCF number.
So the greatest common factor 38506 and 38519 is 13.

Also check out the Least Common Multiple of 38506 and 38519