What is the Greatest Common Factor of 38863 and 38874?

Greatest common factor (GCF) of 38863 and 38874 is 11.

GCF(38863,38874) = 11

We will now calculate the prime factors of 38863 and 38874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38863 and 38874.

How to find the GCF of 38863 and 38874?

We will first find the prime factorization of 38863 and 38874. After we will calculate the factors of 38863 and 38874 and find the biggest common factor number .

Step-1: Prime Factorization of 38863

Prime factors of 38863 are 11, 3533. Prime factorization of 38863 in exponential form is:

38863 = 11¹ × 3533¹

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 38863

List of positive integer factors of 38863 that divides 38863 without a remainder.

1, 11, 3533

Step-4: Factors of 38874

List of positive integer factors of 38874 that divides 38863 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 38863 and 38874. The biggest common factor number is the GCF number.
So the greatest common factor 38863 and 38874 is 11.

Also check out the Least Common Multiple of 38863 and 38874