What is the Greatest Common Factor of 90198 and 90209?

Greatest common factor (GCF) of 90198 and 90209 is 1.

GCF(90198,90209) = 1

We will now calculate the prime factors of 90198 and 90209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90198 and 90209.

How to find the GCF of 90198 and 90209?

We will first find the prime factorization of 90198 and 90209. After we will calculate the factors of 90198 and 90209 and find the biggest common factor number .

Step-1: Prime Factorization of 90198

Prime factors of 90198 are 2, 3, 5011. Prime factorization of 90198 in exponential form is:

90198 = 2¹ × 3² × 5011¹

Step-2: Prime Factorization of 90209

Prime factors of 90209 are 7, 263. Prime factorization of 90209 in exponential form is:

90209 = 7³ × 263¹

Step-3: Factors of 90198

List of positive integer factors of 90198 that divides 90198 without a remainder.

1, 2, 3, 6, 9, 18, 5011, 10022, 15033, 30066, 45099

Step-4: Factors of 90209

List of positive integer factors of 90209 that divides 90198 without a remainder.

1, 7, 49, 263, 343, 1841, 12887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90198 and 90209. The biggest common factor number is the GCF number.
So the greatest common factor 90198 and 90209 is 1.

Also check out the Least Common Multiple of 90198 and 90209