What is the Greatest Common Factor of 38216 and 38234?

Greatest common factor (GCF) of 38216 and 38234 is 2.

GCF(38216,38234) = 2

We will now calculate the prime factors of 38216 and 38234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38216 and 38234.

How to find the GCF of 38216 and 38234?

We will first find the prime factorization of 38216 and 38234. After we will calculate the factors of 38216 and 38234 and find the biggest common factor number .

Step-1: Prime Factorization of 38216

Prime factors of 38216 are 2, 17, 281. Prime factorization of 38216 in exponential form is:

38216 = 2³ × 17¹ × 281¹

Step-2: Prime Factorization of 38234

Prime factors of 38234 are 2, 7, 2731. Prime factorization of 38234 in exponential form is:

38234 = 2¹ × 7¹ × 2731¹

Step-3: Factors of 38216

List of positive integer factors of 38216 that divides 38216 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 281, 562, 1124, 2248, 4777, 9554, 19108

Step-4: Factors of 38234

List of positive integer factors of 38234 that divides 38216 without a remainder.

1, 2, 7, 14, 2731, 5462, 19117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38216 and 38234. The biggest common factor number is the GCF number.
So the greatest common factor 38216 and 38234 is 2.

Also check out the Least Common Multiple of 38216 and 38234