What is the Greatest Common Factor of 38274 and 38284?

Greatest common factor (GCF) of 38274 and 38284 is 2.

GCF(38274,38284) = 2

We will now calculate the prime factors of 38274 and 38284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38274 and 38284.

How to find the GCF of 38274 and 38284?

We will first find the prime factorization of 38274 and 38284. After we will calculate the factors of 38274 and 38284 and find the biggest common factor number .

Step-1: Prime Factorization of 38274

Prime factors of 38274 are 2, 3, 6379. Prime factorization of 38274 in exponential form is:

38274 = 2¹ × 3¹ × 6379¹

Step-2: Prime Factorization of 38284

Prime factors of 38284 are 2, 17, 563. Prime factorization of 38284 in exponential form is:

38284 = 2² × 17¹ × 563¹

Step-3: Factors of 38274

List of positive integer factors of 38274 that divides 38274 without a remainder.

1, 2, 3, 6, 6379, 12758, 19137

Step-4: Factors of 38284

List of positive integer factors of 38284 that divides 38274 without a remainder.

1, 2, 4, 17, 34, 68, 563, 1126, 2252, 9571, 19142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38274 and 38284. The biggest common factor number is the GCF number.
So the greatest common factor 38274 and 38284 is 2.

Also check out the Least Common Multiple of 38274 and 38284