What is the Greatest Common Factor of 18522 and 18536?

Greatest common factor (GCF) of 18522 and 18536 is 14.

GCF(18522,18536) = 14

We will now calculate the prime factors of 18522 and 18536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18522 and 18536.

How to find the GCF of 18522 and 18536?

We will first find the prime factorization of 18522 and 18536. After we will calculate the factors of 18522 and 18536 and find the biggest common factor number .

Step-1: Prime Factorization of 18522

Prime factors of 18522 are 2, 3, 7. Prime factorization of 18522 in exponential form is:

18522 = 2¹ × 3³ × 7³

Step-2: Prime Factorization of 18536

Prime factors of 18536 are 2, 7, 331. Prime factorization of 18536 in exponential form is:

18536 = 2³ × 7¹ × 331¹

Step-3: Factors of 18522

List of positive integer factors of 18522 that divides 18522 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 98, 126, 147, 189, 294, 343, 378, 441, 686, 882, 1029, 1323, 2058, 2646, 3087, 6174, 9261

Step-4: Factors of 18536

List of positive integer factors of 18536 that divides 18522 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 331, 662, 1324, 2317, 2648, 4634, 9268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18522 and 18536. The biggest common factor number is the GCF number.
So the greatest common factor 18522 and 18536 is 14.

Also check out the Least Common Multiple of 18522 and 18536