What is the Greatest Common Factor of 18122 and 18136?

Greatest common factor (GCF) of 18122 and 18136 is 2.

GCF(18122,18136) = 2

We will now calculate the prime factors of 18122 and 18136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18122 and 18136.

How to find the GCF of 18122 and 18136?

We will first find the prime factorization of 18122 and 18136. After we will calculate the factors of 18122 and 18136 and find the biggest common factor number .

Step-1: Prime Factorization of 18122

Prime factors of 18122 are 2, 13, 17, 41. Prime factorization of 18122 in exponential form is:

18122 = 2¹ × 13¹ × 17¹ × 41¹

Step-2: Prime Factorization of 18136

Prime factors of 18136 are 2, 2267. Prime factorization of 18136 in exponential form is:

18136 = 2³ × 2267¹

Step-3: Factors of 18122

List of positive integer factors of 18122 that divides 18122 without a remainder.

1, 2, 13, 17, 26, 34, 41, 82, 221, 442, 533, 697, 1066, 1394, 9061

Step-4: Factors of 18136

List of positive integer factors of 18136 that divides 18122 without a remainder.

1, 2, 4, 8, 2267, 4534, 9068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18122 and 18136. The biggest common factor number is the GCF number.
So the greatest common factor 18122 and 18136 is 2.

Also check out the Least Common Multiple of 18122 and 18136