What is the Greatest Common Factor of 38097 and 38106?

Greatest common factor (GCF) of 38097 and 38106 is 9.

GCF(38097,38106) = 9

We will now calculate the prime factors of 38097 and 38106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38097 and 38106.

How to find the GCF of 38097 and 38106?

We will first find the prime factorization of 38097 and 38106. After we will calculate the factors of 38097 and 38106 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 38106

Prime factors of 38106 are 2, 3, 29, 73. Prime factorization of 38106 in exponential form is:

38106 = 2¹ × 3² × 29¹ × 73¹

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 38106

List of positive integer factors of 38106 that divides 38097 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 73, 87, 146, 174, 219, 261, 438, 522, 657, 1314, 2117, 4234, 6351, 12702, 19053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38097 and 38106. The biggest common factor number is the GCF number.
So the greatest common factor 38097 and 38106 is 9.

Also check out the Least Common Multiple of 38097 and 38106