What is the Greatest Common Factor of 38018 and 38036?

Greatest common factor (GCF) of 38018 and 38036 is 2.

GCF(38018,38036) = 2

We will now calculate the prime factors of 38018 and 38036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38018 and 38036.

How to find the GCF of 38018 and 38036?

We will first find the prime factorization of 38018 and 38036. After we will calculate the factors of 38018 and 38036 and find the biggest common factor number .

Step-1: Prime Factorization of 38018

Prime factors of 38018 are 2, 19009. Prime factorization of 38018 in exponential form is:

38018 = 2¹ × 19009¹

Step-2: Prime Factorization of 38036

Prime factors of 38036 are 2, 37, 257. Prime factorization of 38036 in exponential form is:

38036 = 2² × 37¹ × 257¹

Step-3: Factors of 38018

List of positive integer factors of 38018 that divides 38018 without a remainder.

1, 2, 19009

Step-4: Factors of 38036

List of positive integer factors of 38036 that divides 38018 without a remainder.

1, 2, 4, 37, 74, 148, 257, 514, 1028, 9509, 19018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38018 and 38036. The biggest common factor number is the GCF number.
So the greatest common factor 38018 and 38036 is 2.

Also check out the Least Common Multiple of 38018 and 38036