What is the Greatest Common Factor of 38276 and 38282?

Greatest common factor (GCF) of 38276 and 38282 is 2.

GCF(38276,38282) = 2

We will now calculate the prime factors of 38276 and 38282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38276 and 38282.

How to find the GCF of 38276 and 38282?

We will first find the prime factorization of 38276 and 38282. After we will calculate the factors of 38276 and 38282 and find the biggest common factor number .

Step-1: Prime Factorization of 38276

Prime factors of 38276 are 2, 7, 1367. Prime factorization of 38276 in exponential form is:

38276 = 2² × 7¹ × 1367¹

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 38276

List of positive integer factors of 38276 that divides 38276 without a remainder.

1, 2, 4, 7, 14, 28, 1367, 2734, 5468, 9569, 19138

Step-4: Factors of 38282

List of positive integer factors of 38282 that divides 38276 without a remainder.

1, 2, 19141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38276 and 38282. The biggest common factor number is the GCF number.
So the greatest common factor 38276 and 38282 is 2.

Also check out the Least Common Multiple of 38276 and 38282