What is the Greatest Common Factor of 38096 and 38116?

Greatest common factor (GCF) of 38096 and 38116 is 4.

GCF(38096,38116) = 4

We will now calculate the prime factors of 38096 and 38116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38096 and 38116.

How to find the GCF of 38096 and 38116?

We will first find the prime factorization of 38096 and 38116. After we will calculate the factors of 38096 and 38116 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 38116

Prime factors of 38116 are 2, 13, 733. Prime factorization of 38116 in exponential form is:

38116 = 2² × 13¹ × 733¹

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 38116

List of positive integer factors of 38116 that divides 38096 without a remainder.

1, 2, 4, 13, 26, 52, 733, 1466, 2932, 9529, 19058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38096 and 38116. The biggest common factor number is the GCF number.
So the greatest common factor 38096 and 38116 is 4.

Also check out the Least Common Multiple of 38096 and 38116