What is the Greatest Common Factor of 38266 and 38282?

Greatest common factor (GCF) of 38266 and 38282 is 2.

GCF(38266,38282) = 2

We will now calculate the prime factors of 38266 and 38282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38266 and 38282.

How to find the GCF of 38266 and 38282?

We will first find the prime factorization of 38266 and 38282. After we will calculate the factors of 38266 and 38282 and find the biggest common factor number .

Step-1: Prime Factorization of 38266

Prime factors of 38266 are 2, 19, 53. Prime factorization of 38266 in exponential form is:

38266 = 2¹ × 19² × 53¹

Step-2: Prime Factorization of 38282

Prime factors of 38282 are 2, 19141. Prime factorization of 38282 in exponential form is:

38282 = 2¹ × 19141¹

Step-3: Factors of 38266

List of positive integer factors of 38266 that divides 38266 without a remainder.

1, 2, 19, 38, 53, 106, 361, 722, 1007, 2014, 19133

Step-4: Factors of 38282

List of positive integer factors of 38282 that divides 38266 without a remainder.

1, 2, 19141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38266 and 38282. The biggest common factor number is the GCF number.
So the greatest common factor 38266 and 38282 is 2.

Also check out the Least Common Multiple of 38266 and 38282