What is the Greatest Common Factor of 38874 and 38886?

Greatest common factor (GCF) of 38874 and 38886 is 6.

GCF(38874,38886) = 6

We will now calculate the prime factors of 38874 and 38886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38874 and 38886.

How to find the GCF of 38874 and 38886?

We will first find the prime factorization of 38874 and 38886. After we will calculate the factors of 38874 and 38886 and find the biggest common factor number .

Step-1: Prime Factorization of 38874

Prime factors of 38874 are 2, 3, 11, 19, 31. Prime factorization of 38874 in exponential form is:

38874 = 2¹ × 3¹ × 11¹ × 19¹ × 31¹

Step-2: Prime Factorization of 38886

Prime factors of 38886 are 2, 3, 6481. Prime factorization of 38886 in exponential form is:

38886 = 2¹ × 3¹ × 6481¹

Step-3: Factors of 38874

List of positive integer factors of 38874 that divides 38874 without a remainder.

1, 2, 3, 6, 11, 19, 22, 31, 33, 38, 57, 62, 66, 93, 114, 186, 209, 341, 418, 589, 627, 682, 1023, 1178, 1254, 1767, 2046, 3534, 6479, 12958, 19437

Step-4: Factors of 38886

List of positive integer factors of 38886 that divides 38874 without a remainder.

1, 2, 3, 6, 6481, 12962, 19443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38874 and 38886. The biggest common factor number is the GCF number.
So the greatest common factor 38874 and 38886 is 6.

Also check out the Least Common Multiple of 38874 and 38886