What is the Greatest Common Factor of 38004 and 38012?

Greatest common factor (GCF) of 38004 and 38012 is 4.

GCF(38004,38012) = 4

We will now calculate the prime factors of 38004 and 38012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38004 and 38012.

How to find the GCF of 38004 and 38012?

We will first find the prime factorization of 38004 and 38012. After we will calculate the factors of 38004 and 38012 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 38012

Prime factors of 38012 are 2, 13, 17, 43. Prime factorization of 38012 in exponential form is:

38012 = 2² × 13¹ × 17¹ × 43¹

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 38012

List of positive integer factors of 38012 that divides 38004 without a remainder.

1, 2, 4, 13, 17, 26, 34, 43, 52, 68, 86, 172, 221, 442, 559, 731, 884, 1118, 1462, 2236, 2924, 9503, 19006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38004 and 38012. The biggest common factor number is the GCF number.
So the greatest common factor 38004 and 38012 is 4.

Also check out the Least Common Multiple of 38004 and 38012