What is the Greatest Common Factor of 38098 and 38118?

Greatest common factor (GCF) of 38098 and 38118 is 2.

GCF(38098,38118) = 2

We will now calculate the prime factors of 38098 and 38118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38098 and 38118.

How to find the GCF of 38098 and 38118?

We will first find the prime factorization of 38098 and 38118. After we will calculate the factors of 38098 and 38118 and find the biggest common factor number .

Step-1: Prime Factorization of 38098

Prime factors of 38098 are 2, 43, 443. Prime factorization of 38098 in exponential form is:

38098 = 2¹ × 43¹ × 443¹

Step-2: Prime Factorization of 38118

Prime factors of 38118 are 2, 3, 6353. Prime factorization of 38118 in exponential form is:

38118 = 2¹ × 3¹ × 6353¹

Step-3: Factors of 38098

List of positive integer factors of 38098 that divides 38098 without a remainder.

1, 2, 43, 86, 443, 886, 19049

Step-4: Factors of 38118

List of positive integer factors of 38118 that divides 38098 without a remainder.

1, 2, 3, 6, 6353, 12706, 19059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38098 and 38118. The biggest common factor number is the GCF number.
So the greatest common factor 38098 and 38118 is 2.

Also check out the Least Common Multiple of 38098 and 38118