What is the Greatest Common Factor of 38097 and 38113?

Greatest common factor (GCF) of 38097 and 38113 is 1.

GCF(38097,38113) = 1

We will now calculate the prime factors of 38097 and 38113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38097 and 38113.

How to find the GCF of 38097 and 38113?

We will first find the prime factorization of 38097 and 38113. After we will calculate the factors of 38097 and 38113 and find the biggest common factor number .

Step-1: Prime Factorization of 38097

Prime factors of 38097 are 3, 17, 83. Prime factorization of 38097 in exponential form is:

38097 = 3³ × 17¹ × 83¹

Step-2: Prime Factorization of 38113

Prime factors of 38113 are 38113. Prime factorization of 38113 in exponential form is:

38113 = 38113¹

Step-3: Factors of 38097

List of positive integer factors of 38097 that divides 38097 without a remainder.

1, 3, 9, 17, 27, 51, 83, 153, 249, 459, 747, 1411, 2241, 4233, 12699

Step-4: Factors of 38113

List of positive integer factors of 38113 that divides 38097 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38097 and 38113. The biggest common factor number is the GCF number.
So the greatest common factor 38097 and 38113 is 1.

Also check out the Least Common Multiple of 38097 and 38113