What is the Greatest Common Factor of 38096 and 38109?

Greatest common factor (GCF) of 38096 and 38109 is 1.

GCF(38096,38109) = 1

We will now calculate the prime factors of 38096 and 38109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38096 and 38109.

How to find the GCF of 38096 and 38109?

We will first find the prime factorization of 38096 and 38109. After we will calculate the factors of 38096 and 38109 and find the biggest common factor number .

Step-1: Prime Factorization of 38096

Prime factors of 38096 are 2, 2381. Prime factorization of 38096 in exponential form is:

38096 = 2⁴ × 2381¹

Step-2: Prime Factorization of 38109

Prime factors of 38109 are 3, 12703. Prime factorization of 38109 in exponential form is:

38109 = 3¹ × 12703¹

Step-3: Factors of 38096

List of positive integer factors of 38096 that divides 38096 without a remainder.

1, 2, 4, 8, 16, 2381, 4762, 9524, 19048

Step-4: Factors of 38109

List of positive integer factors of 38109 that divides 38096 without a remainder.

1, 3, 12703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38096 and 38109. The biggest common factor number is the GCF number.
So the greatest common factor 38096 and 38109 is 1.

Also check out the Least Common Multiple of 38096 and 38109