What is the Greatest Common Factor of 38004 and 38018?

Greatest common factor (GCF) of 38004 and 38018 is 2.

GCF(38004,38018) = 2

We will now calculate the prime factors of 38004 and 38018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38004 and 38018.

How to find the GCF of 38004 and 38018?

We will first find the prime factorization of 38004 and 38018. After we will calculate the factors of 38004 and 38018 and find the biggest common factor number .

Step-1: Prime Factorization of 38004

Prime factors of 38004 are 2, 3, 3167. Prime factorization of 38004 in exponential form is:

38004 = 2² × 3¹ × 3167¹

Step-2: Prime Factorization of 38018

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

38018 = 2¹ × 19009¹

Step-3: Factors of 38004

List of positive integer factors of 38004 that divides 38004 without a remainder.

1, 2, 3, 4, 6, 12, 3167, 6334, 9501, 12668, 19002

Step-4: Factors of 38018

List of positive integer factors of 38018 that divides 38004 without a remainder.

1, 2, 19009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38004 and 38018. The biggest common factor number is the GCF number.
So the greatest common factor 38004 and 38018 is 2.

Also check out the Least Common Multiple of 38004 and 38018