What is the Greatest Common Factor of 11298 and 11305?

Greatest common factor (GCF) of 11298 and 11305 is 7.

GCF(11298,11305) = 7

We will now calculate the prime factors of 11298 and 11305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11298 and 11305.

How to find the GCF of 11298 and 11305?

We will first find the prime factorization of 11298 and 11305. After we will calculate the factors of 11298 and 11305 and find the biggest common factor number .

Step-1: Prime Factorization of 11298

Prime factors of 11298 are 2, 3, 7, 269. Prime factorization of 11298 in exponential form is:

11298 = 2¹ × 3¹ × 7¹ × 269¹

Step-2: Prime Factorization of 11305

Prime factors of 11305 are 5, 7, 17, 19. Prime factorization of 11305 in exponential form is:

11305 = 5¹ × 7¹ × 17¹ × 19¹

Step-3: Factors of 11298

List of positive integer factors of 11298 that divides 11298 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 269, 538, 807, 1614, 1883, 3766, 5649

Step-4: Factors of 11305

List of positive integer factors of 11305 that divides 11298 without a remainder.

1, 5, 7, 17, 19, 35, 85, 95, 119, 133, 323, 595, 665, 1615, 2261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11298 and 11305. The biggest common factor number is the GCF number.
So the greatest common factor 11298 and 11305 is 7.

Also check out the Least Common Multiple of 11298 and 11305