What is the Greatest Common Factor of 38998 and 39016?

Greatest common factor (GCF) of 38998 and 39016 is 2.

GCF(38998,39016) = 2

We will now calculate the prime factors of 38998 and 39016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38998 and 39016.

How to find the GCF of 38998 and 39016?

We will first find the prime factorization of 38998 and 39016. After we will calculate the factors of 38998 and 39016 and find the biggest common factor number .

Step-1: Prime Factorization of 38998

Prime factors of 38998 are 2, 17, 31, 37. Prime factorization of 38998 in exponential form is:

38998 = 2¹ × 17¹ × 31¹ × 37¹

Step-2: Prime Factorization of 39016

Prime factors of 39016 are 2, 4877. Prime factorization of 39016 in exponential form is:

39016 = 2³ × 4877¹

Step-3: Factors of 38998

List of positive integer factors of 38998 that divides 38998 without a remainder.

1, 2, 17, 31, 34, 37, 62, 74, 527, 629, 1054, 1147, 1258, 2294, 19499

Step-4: Factors of 39016

List of positive integer factors of 39016 that divides 38998 without a remainder.

1, 2, 4, 8, 4877, 9754, 19508

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38998 and 39016. The biggest common factor number is the GCF number.
So the greatest common factor 38998 and 39016 is 2.

Also check out the Least Common Multiple of 38998 and 39016