What is the Greatest Common Factor of 38284 and 38290?

Greatest common factor (GCF) of 38284 and 38290 is 2.

GCF(38284,38290) = 2

We will now calculate the prime factors of 38284 and 38290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38284 and 38290.

How to find the GCF of 38284 and 38290?

We will first find the prime factorization of 38284 and 38290. After we will calculate the factors of 38284 and 38290 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38290

Prime factors of 38290 are 2, 5, 7, 547. Prime factorization of 38290 in exponential form is:

38290 = 2¹ × 5¹ × 7¹ × 547¹

Step-3: Factors of 38284

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

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

Step-4: Factors of 38290

List of positive integer factors of 38290 that divides 38284 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 547, 1094, 2735, 3829, 5470, 7658, 19145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38284 and 38290. The biggest common factor number is the GCF number.
So the greatest common factor 38284 and 38290 is 2.

Also check out the Least Common Multiple of 38284 and 38290