What is the Greatest Common Factor of 18164 and 18172?

Greatest common factor (GCF) of 18164 and 18172 is 4.

GCF(18164,18172) = 4

We will now calculate the prime factors of 18164 and 18172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18164 and 18172.

How to find the GCF of 18164 and 18172?

We will first find the prime factorization of 18164 and 18172. After we will calculate the factors of 18164 and 18172 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 18172

Prime factors of 18172 are 2, 7, 11, 59. Prime factorization of 18172 in exponential form is:

18172 = 2² × 7¹ × 11¹ × 59¹

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 18172

List of positive integer factors of 18172 that divides 18164 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 59, 77, 118, 154, 236, 308, 413, 649, 826, 1298, 1652, 2596, 4543, 9086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18164 and 18172. The biggest common factor number is the GCF number.
So the greatest common factor 18164 and 18172 is 4.

Also check out the Least Common Multiple of 18164 and 18172