What is the Greatest Common Factor of 38314 and 38328?

Greatest common factor (GCF) of 38314 and 38328 is 2.

GCF(38314,38328) = 2

We will now calculate the prime factors of 38314 and 38328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38314 and 38328.

How to find the GCF of 38314 and 38328?

We will first find the prime factorization of 38314 and 38328. After we will calculate the factors of 38314 and 38328 and find the biggest common factor number .

Step-1: Prime Factorization of 38314

Prime factors of 38314 are 2, 19157. Prime factorization of 38314 in exponential form is:

38314 = 2¹ × 19157¹

Step-2: Prime Factorization of 38328

Prime factors of 38328 are 2, 3, 1597. Prime factorization of 38328 in exponential form is:

38328 = 2³ × 3¹ × 1597¹

Step-3: Factors of 38314

List of positive integer factors of 38314 that divides 38314 without a remainder.

1, 2, 19157

Step-4: Factors of 38328

List of positive integer factors of 38328 that divides 38314 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1597, 3194, 4791, 6388, 9582, 12776, 19164

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38314 and 38328. The biggest common factor number is the GCF number.
So the greatest common factor 38314 and 38328 is 2.

Also check out the Least Common Multiple of 38314 and 38328