What is the Greatest Common Factor of 38349 and 38353?

Greatest common factor (GCF) of 38349 and 38353 is 1.

GCF(38349,38353) = 1

We will now calculate the prime factors of 38349 and 38353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38349 and 38353.

How to find the GCF of 38349 and 38353?

We will first find the prime factorization of 38349 and 38353. After we will calculate the factors of 38349 and 38353 and find the biggest common factor number .

Step-1: Prime Factorization of 38349

Prime factors of 38349 are 3, 4261. Prime factorization of 38349 in exponential form is:

38349 = 3² × 4261¹

Step-2: Prime Factorization of 38353

Prime factors of 38353 are 7, 5479. Prime factorization of 38353 in exponential form is:

38353 = 7¹ × 5479¹

Step-3: Factors of 38349

List of positive integer factors of 38349 that divides 38349 without a remainder.

1, 3, 9, 4261, 12783

Step-4: Factors of 38353

List of positive integer factors of 38353 that divides 38349 without a remainder.

1, 7, 5479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38349 and 38353. The biggest common factor number is the GCF number.
So the greatest common factor 38349 and 38353 is 1.

Also check out the Least Common Multiple of 38349 and 38353