What is the Greatest Common Factor of 38302 and 38313?

Greatest common factor (GCF) of 38302 and 38313 is 11.

GCF(38302,38313) = 11

We will now calculate the prime factors of 38302 and 38313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38302 and 38313.

How to find the GCF of 38302 and 38313?

We will first find the prime factorization of 38302 and 38313. After we will calculate the factors of 38302 and 38313 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 38313

Prime factors of 38313 are 3, 11, 43. Prime factorization of 38313 in exponential form is:

38313 = 3⁴ × 11¹ × 43¹

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 38313

List of positive integer factors of 38313 that divides 38302 without a remainder.

1, 3, 9, 11, 27, 33, 43, 81, 99, 129, 297, 387, 473, 891, 1161, 1419, 3483, 4257, 12771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38302 and 38313. The biggest common factor number is the GCF number.
So the greatest common factor 38302 and 38313 is 11.

Also check out the Least Common Multiple of 38302 and 38313