What is the Greatest Common Factor of 38302 and 38319?

Greatest common factor (GCF) of 38302 and 38319 is 1.

GCF(38302,38319) = 1

We will now calculate the prime factors of 38302 and 38319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38302 and 38319.

How to find the GCF of 38302 and 38319?

We will first find the prime factorization of 38302 and 38319. After we will calculate the factors of 38302 and 38319 and find the biggest common factor number .

Step-1: Prime Factorization of 38302

Prime factors of 38302 are 2, 11, 1741. Prime factorization of 38302 in exponential form is:

38302 = 2¹ × 11¹ × 1741¹

Step-2: Prime Factorization of 38319

Prime factors of 38319 are 3, 53, 241. Prime factorization of 38319 in exponential form is:

38319 = 3¹ × 53¹ × 241¹

Step-3: Factors of 38302

List of positive integer factors of 38302 that divides 38302 without a remainder.

1, 2, 11, 22, 1741, 3482, 19151

Step-4: Factors of 38319

List of positive integer factors of 38319 that divides 38302 without a remainder.

1, 3, 53, 159, 241, 723, 12773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38302 and 38319. The biggest common factor number is the GCF number.
So the greatest common factor 38302 and 38319 is 1.

Also check out the Least Common Multiple of 38302 and 38319