What is the Greatest Common Factor of 38874 and 38892?

Greatest common factor (GCF) of 38874 and 38892 is 6.

GCF(38874,38892) = 6

We will now calculate the prime factors of 38874 and 38892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38874 and 38892.

How to find the GCF of 38874 and 38892?

We will first find the prime factorization of 38874 and 38892. After we will calculate the factors of 38874 and 38892 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 38892

Prime factors of 38892 are 2, 3, 7, 463. Prime factorization of 38892 in exponential form is:

38892 = 2² × 3¹ × 7¹ × 463¹

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 38892

List of positive integer factors of 38892 that divides 38874 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 463, 926, 1389, 1852, 2778, 3241, 5556, 6482, 9723, 12964, 19446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38874 and 38892. The biggest common factor number is the GCF number.
So the greatest common factor 38874 and 38892 is 6.

Also check out the Least Common Multiple of 38874 and 38892