What is the Greatest Common Factor of 18198 and 18202?

Greatest common factor (GCF) of 18198 and 18202 is 2.

GCF(18198,18202) = 2

We will now calculate the prime factors of 18198 and 18202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18198 and 18202.

How to find the GCF of 18198 and 18202?

We will first find the prime factorization of 18198 and 18202. After we will calculate the factors of 18198 and 18202 and find the biggest common factor number .

Step-1: Prime Factorization of 18198

Prime factors of 18198 are 2, 3, 337. Prime factorization of 18198 in exponential form is:

18198 = 2¹ × 3³ × 337¹

Step-2: Prime Factorization of 18202

Prime factors of 18202 are 2, 19, 479. Prime factorization of 18202 in exponential form is:

18202 = 2¹ × 19¹ × 479¹

Step-3: Factors of 18198

List of positive integer factors of 18198 that divides 18198 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 337, 674, 1011, 2022, 3033, 6066, 9099

Step-4: Factors of 18202

List of positive integer factors of 18202 that divides 18198 without a remainder.

1, 2, 19, 38, 479, 958, 9101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18198 and 18202. The biggest common factor number is the GCF number.
So the greatest common factor 18198 and 18202 is 2.

Also check out the Least Common Multiple of 18198 and 18202