What is the Greatest Common Factor of 38994 and 39008?

Greatest common factor (GCF) of 38994 and 39008 is 2.

GCF(38994,39008) = 2

We will now calculate the prime factors of 38994 and 39008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38994 and 39008.

How to find the GCF of 38994 and 39008?

We will first find the prime factorization of 38994 and 39008. After we will calculate the factors of 38994 and 39008 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 39008

Prime factors of 39008 are 2, 23, 53. Prime factorization of 39008 in exponential form is:

39008 = 2⁵ × 23¹ × 53¹

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 39008

List of positive integer factors of 39008 that divides 38994 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 53, 92, 106, 184, 212, 368, 424, 736, 848, 1219, 1696, 2438, 4876, 9752, 19504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38994 and 39008. The biggest common factor number is the GCF number.
So the greatest common factor 38994 and 39008 is 2.

Also check out the Least Common Multiple of 38994 and 39008