What is the Greatest Common Factor of 18514 and 18522?

Greatest common factor (GCF) of 18514 and 18522 is 2.

GCF(18514,18522) = 2

We will now calculate the prime factors of 18514 and 18522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18514 and 18522.

How to find the GCF of 18514 and 18522?

We will first find the prime factorization of 18514 and 18522. After we will calculate the factors of 18514 and 18522 and find the biggest common factor number .

Step-1: Prime Factorization of 18514

Prime factors of 18514 are 2, 9257. Prime factorization of 18514 in exponential form is:

18514 = 2¹ × 9257¹

Step-2: 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-3: Factors of 18514

List of positive integer factors of 18514 that divides 18514 without a remainder.

1, 2, 9257

Step-4: Factors of 18522

List of positive integer factors of 18522 that divides 18514 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18514 and 18522. The biggest common factor number is the GCF number.
So the greatest common factor 18514 and 18522 is 2.

Also check out the Least Common Multiple of 18514 and 18522