What is the Greatest Common Factor of 38855 and 38874?

Greatest common factor (GCF) of 38855 and 38874 is 19.

GCF(38855,38874) = 19

We will now calculate the prime factors of 38855 and 38874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38855 and 38874.

How to find the GCF of 38855 and 38874?

We will first find the prime factorization of 38855 and 38874. After we will calculate the factors of 38855 and 38874 and find the biggest common factor number .

Step-1: Prime Factorization of 38855

Prime factors of 38855 are 5, 19, 409. Prime factorization of 38855 in exponential form is:

38855 = 5¹ × 19¹ × 409¹

Step-2: 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-3: Factors of 38855

List of positive integer factors of 38855 that divides 38855 without a remainder.

1, 5, 19, 95, 409, 2045, 7771

Step-4: Factors of 38874

List of positive integer factors of 38874 that divides 38855 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38855 and 38874. The biggest common factor number is the GCF number.
So the greatest common factor 38855 and 38874 is 19.

Also check out the Least Common Multiple of 38855 and 38874