What is the Greatest Common Factor of 18522 and 18529?

Greatest common factor (GCF) of 18522 and 18529 is 7.

GCF(18522,18529) = 7

We will now calculate the prime factors of 18522 and 18529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18522 and 18529.

How to find the GCF of 18522 and 18529?

We will first find the prime factorization of 18522 and 18529. After we will calculate the factors of 18522 and 18529 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 18529

Prime factors of 18529 are 7, 2647. Prime factorization of 18529 in exponential form is:

18529 = 7¹ × 2647¹

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 18529

List of positive integer factors of 18529 that divides 18522 without a remainder.

1, 7, 2647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18522 and 18529. The biggest common factor number is the GCF number.
So the greatest common factor 18522 and 18529 is 7.

Also check out the Least Common Multiple of 18522 and 18529