What is the Greatest Common Factor of 38164 and 38182?

Greatest common factor (GCF) of 38164 and 38182 is 2.

GCF(38164,38182) = 2

We will now calculate the prime factors of 38164 and 38182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38164 and 38182.

How to find the GCF of 38164 and 38182?

We will first find the prime factorization of 38164 and 38182. After we will calculate the factors of 38164 and 38182 and find the biggest common factor number .

Step-1: Prime Factorization of 38164

Prime factors of 38164 are 2, 7, 29, 47. Prime factorization of 38164 in exponential form is:

38164 = 2² × 7¹ × 29¹ × 47¹

Step-2: Prime Factorization of 38182

Prime factors of 38182 are 2, 17, 1123. Prime factorization of 38182 in exponential form is:

38182 = 2¹ × 17¹ × 1123¹

Step-3: Factors of 38164

List of positive integer factors of 38164 that divides 38164 without a remainder.

1, 2, 4, 7, 14, 28, 29, 47, 58, 94, 116, 188, 203, 329, 406, 658, 812, 1316, 1363, 2726, 5452, 9541, 19082

Step-4: Factors of 38182

List of positive integer factors of 38182 that divides 38164 without a remainder.

1, 2, 17, 34, 1123, 2246, 19091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38164 and 38182. The biggest common factor number is the GCF number.
So the greatest common factor 38164 and 38182 is 2.

Also check out the Least Common Multiple of 38164 and 38182