What is the Greatest Common Factor of 38164 and 38184?

Greatest common factor (GCF) of 38164 and 38184 is 4.

GCF(38164,38184) = 4

We will now calculate the prime factors of 38164 and 38184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38164 and 38184.

How to find the GCF of 38164 and 38184?

We will first find the prime factorization of 38164 and 38184. After we will calculate the factors of 38164 and 38184 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 38184

Prime factors of 38184 are 2, 3, 37, 43. Prime factorization of 38184 in exponential form is:

38184 = 2³ × 3¹ × 37¹ × 43¹

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 38184

List of positive integer factors of 38184 that divides 38164 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 43, 74, 86, 111, 129, 148, 172, 222, 258, 296, 344, 444, 516, 888, 1032, 1591, 3182, 4773, 6364, 9546, 12728, 19092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38164 and 38184. The biggest common factor number is the GCF number.
So the greatest common factor 38164 and 38184 is 4.

Also check out the Least Common Multiple of 38164 and 38184