What is the Greatest Common Factor of 18158 and 18172?

Greatest common factor (GCF) of 18158 and 18172 is 14.

GCF(18158,18172) = 14

We will now calculate the prime factors of 18158 and 18172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18158 and 18172.

How to find the GCF of 18158 and 18172?

We will first find the prime factorization of 18158 and 18172. After we will calculate the factors of 18158 and 18172 and find the biggest common factor number .

Step-1: Prime Factorization of 18158

Prime factors of 18158 are 2, 7, 1297. Prime factorization of 18158 in exponential form is:

18158 = 2¹ × 7¹ × 1297¹

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 18158

List of positive integer factors of 18158 that divides 18158 without a remainder.

1, 2, 7, 14, 1297, 2594, 9079

Step-4: Factors of 18172

List of positive integer factors of 18172 that divides 18158 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 18158 and 18172. The biggest common factor number is the GCF number.
So the greatest common factor 18158 and 18172 is 14.

Also check out the Least Common Multiple of 18158 and 18172