What is the Greatest Common Factor of 38994 and 39003?

Greatest common factor (GCF) of 38994 and 39003 is 3.

GCF(38994,39003) = 3

We will now calculate the prime factors of 38994 and 39003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38994 and 39003.

How to find the GCF of 38994 and 39003?

We will first find the prime factorization of 38994 and 39003. After we will calculate the factors of 38994 and 39003 and find the biggest common factor number .

Step-1: Prime Factorization of 38994

Prime factors of 38994 are 2, 3, 67, 97. Prime factorization of 38994 in exponential form is:

38994 = 2¹ × 3¹ × 67¹ × 97¹

Step-2: Prime Factorization of 39003

Prime factors of 39003 are 3, 13001. Prime factorization of 39003 in exponential form is:

39003 = 3¹ × 13001¹

Step-3: Factors of 38994

List of positive integer factors of 38994 that divides 38994 without a remainder.

1, 2, 3, 6, 67, 97, 134, 194, 201, 291, 402, 582, 6499, 12998, 19497

Step-4: Factors of 39003

List of positive integer factors of 39003 that divides 38994 without a remainder.

1, 3, 13001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38994 and 39003. The biggest common factor number is the GCF number.
So the greatest common factor 38994 and 39003 is 3.

Also check out the Least Common Multiple of 38994 and 39003