What is the Greatest Common Factor of 38986 and 38998?

Greatest common factor (GCF) of 38986 and 38998 is 2.

GCF(38986,38998) = 2

We will now calculate the prime factors of 38986 and 38998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38986 and 38998.

How to find the GCF of 38986 and 38998?

We will first find the prime factorization of 38986 and 38998. After we will calculate the factors of 38986 and 38998 and find the biggest common factor number .

Step-1: Prime Factorization of 38986

Prime factors of 38986 are 2, 101, 193. Prime factorization of 38986 in exponential form is:

38986 = 2¹ × 101¹ × 193¹

Step-2: 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-3: Factors of 38986

List of positive integer factors of 38986 that divides 38986 without a remainder.

1, 2, 101, 193, 202, 386, 19493

Step-4: Factors of 38998

List of positive integer factors of 38998 that divides 38986 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38986 and 38998. The biggest common factor number is the GCF number.
So the greatest common factor 38986 and 38998 is 2.

Also check out the Least Common Multiple of 38986 and 38998