What is the Greatest Common Factor of 38097 and 38102?

Greatest common factor (GCF) of 38097 and 38102 is 1.

GCF(38097,38102) = 1

We will now calculate the prime factors of 38097 and 38102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38097 and 38102.

How to find the GCF of 38097 and 38102?

We will first find the prime factorization of 38097 and 38102. After we will calculate the factors of 38097 and 38102 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 38102

Prime factors of 38102 are 2, 19051. Prime factorization of 38102 in exponential form is:

38102 = 2¹ × 19051¹

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 38102

List of positive integer factors of 38102 that divides 38097 without a remainder.

1, 2, 19051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38097 and 38102. The biggest common factor number is the GCF number.
So the greatest common factor 38097 and 38102 is 1.

Also check out the Least Common Multiple of 38097 and 38102