What is the Greatest Common Factor of 38864 and 38874?

Greatest common factor (GCF) of 38864 and 38874 is 2.

GCF(38864,38874) = 2

We will now calculate the prime factors of 38864 and 38874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38864 and 38874.

How to find the GCF of 38864 and 38874?

We will first find the prime factorization of 38864 and 38874. After we will calculate the factors of 38864 and 38874 and find the biggest common factor number .

Step-1: Prime Factorization of 38864

Prime factors of 38864 are 2, 7, 347. Prime factorization of 38864 in exponential form is:

38864 = 2⁴ × 7¹ × 347¹

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 38864

List of positive integer factors of 38864 that divides 38864 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 347, 694, 1388, 2429, 2776, 4858, 5552, 9716, 19432

Step-4: Factors of 38874

List of positive integer factors of 38874 that divides 38864 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 38864 and 38874. The biggest common factor number is the GCF number.
So the greatest common factor 38864 and 38874 is 2.

Also check out the Least Common Multiple of 38864 and 38874