What is the Greatest Common Factor of 18164 and 18176?

Greatest common factor (GCF) of 18164 and 18176 is 4.

GCF(18164,18176) = 4

We will now calculate the prime factors of 18164 and 18176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18164 and 18176.

How to find the GCF of 18164 and 18176?

We will first find the prime factorization of 18164 and 18176. After we will calculate the factors of 18164 and 18176 and find the biggest common factor number .

Step-1: Prime Factorization of 18164

Prime factors of 18164 are 2, 19, 239. Prime factorization of 18164 in exponential form is:

18164 = 2² × 19¹ × 239¹

Step-2: Prime Factorization of 18176

Prime factors of 18176 are 2, 71. Prime factorization of 18176 in exponential form is:

18176 = 2⁸ × 71¹

Step-3: Factors of 18164

List of positive integer factors of 18164 that divides 18164 without a remainder.

1, 2, 4, 19, 38, 76, 239, 478, 956, 4541, 9082

Step-4: Factors of 18176

List of positive integer factors of 18176 that divides 18164 without a remainder.

1, 2, 4, 8, 16, 32, 64, 71, 128, 142, 256, 284, 568, 1136, 2272, 4544, 9088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18164 and 18176. The biggest common factor number is the GCF number.
So the greatest common factor 18164 and 18176 is 4.

Also check out the Least Common Multiple of 18164 and 18176