What is the Greatest Common Factor of 38076 and 38082?

Greatest common factor (GCF) of 38076 and 38082 is 6.

GCF(38076,38082) = 6

We will now calculate the prime factors of 38076 and 38082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38076 and 38082.

How to find the GCF of 38076 and 38082?

We will first find the prime factorization of 38076 and 38082. After we will calculate the factors of 38076 and 38082 and find the biggest common factor number .

Step-1: Prime Factorization of 38076

Prime factors of 38076 are 2, 3, 19, 167. Prime factorization of 38076 in exponential form is:

38076 = 2² × 3¹ × 19¹ × 167¹

Step-2: Prime Factorization of 38082

Prime factors of 38082 are 2, 3, 11, 577. Prime factorization of 38082 in exponential form is:

38082 = 2¹ × 3¹ × 11¹ × 577¹

Step-3: Factors of 38076

List of positive integer factors of 38076 that divides 38076 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 167, 228, 334, 501, 668, 1002, 2004, 3173, 6346, 9519, 12692, 19038

Step-4: Factors of 38082

List of positive integer factors of 38082 that divides 38076 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 577, 1154, 1731, 3462, 6347, 12694, 19041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38076 and 38082. The biggest common factor number is the GCF number.
So the greatest common factor 38076 and 38082 is 6.

Also check out the Least Common Multiple of 38076 and 38082