What is the Greatest Common Factor of 9198 and 9205?

Greatest common factor (GCF) of 9198 and 9205 is 7.

GCF(9198,9205) = 7

We will now calculate the prime factors of 9198 and 9205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9198 and 9205.

How to find the GCF of 9198 and 9205?

We will first find the prime factorization of 9198 and 9205. After we will calculate the factors of 9198 and 9205 and find the biggest common factor number .

Step-1: Prime Factorization of 9198

Prime factors of 9198 are 2, 3, 7, 73. Prime factorization of 9198 in exponential form is:

9198 = 2¹ × 3² × 7¹ × 73¹

Step-2: Prime Factorization of 9205

Prime factors of 9205 are 5, 7, 263. Prime factorization of 9205 in exponential form is:

9205 = 5¹ × 7¹ × 263¹

Step-3: Factors of 9198

List of positive integer factors of 9198 that divides 9198 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 73, 126, 146, 219, 438, 511, 657, 1022, 1314, 1533, 3066, 4599

Step-4: Factors of 9205

List of positive integer factors of 9205 that divides 9198 without a remainder.

1, 5, 7, 35, 263, 1315, 1841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9198 and 9205. The biggest common factor number is the GCF number.
So the greatest common factor 9198 and 9205 is 7.

Also check out the Least Common Multiple of 9198 and 9205