What is the Greatest Common Factor of 18172 and 18180?

Greatest common factor (GCF) of 18172 and 18180 is 4.

GCF(18172,18180) = 4

We will now calculate the prime factors of 18172 and 18180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18172 and 18180.

How to find the GCF of 18172 and 18180?

We will first find the prime factorization of 18172 and 18180. After we will calculate the factors of 18172 and 18180 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18180

Prime factors of 18180 are 2, 3, 5, 101. Prime factorization of 18180 in exponential form is:

18180 = 2² × 3² × 5¹ × 101¹

Step-3: Factors of 18172

List of positive integer factors of 18172 that divides 18172 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

Step-4: Factors of 18180

List of positive integer factors of 18180 that divides 18172 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 101, 180, 202, 303, 404, 505, 606, 909, 1010, 1212, 1515, 1818, 2020, 3030, 3636, 4545, 6060, 9090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18172 and 18180. The biggest common factor number is the GCF number.
So the greatest common factor 18172 and 18180 is 4.

Also check out the Least Common Multiple of 18172 and 18180