What is the Greatest Common Factor of 18122 and 18139?

Greatest common factor (GCF) of 18122 and 18139 is 17.

GCF(18122,18139) = 17

We will now calculate the prime factors of 18122 and 18139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18122 and 18139.

How to find the GCF of 18122 and 18139?

We will first find the prime factorization of 18122 and 18139. After we will calculate the factors of 18122 and 18139 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 18139

Prime factors of 18139 are 11, 17, 97. Prime factorization of 18139 in exponential form is:

18139 = 11¹ × 17¹ × 97¹

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 18139

List of positive integer factors of 18139 that divides 18122 without a remainder.

1, 11, 17, 97, 187, 1067, 1649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18122 and 18139. The biggest common factor number is the GCF number.
So the greatest common factor 18122 and 18139 is 17.

Also check out the Least Common Multiple of 18122 and 18139