What is the Greatest Common Factor of 11284 and 11298?

Greatest common factor (GCF) of 11284 and 11298 is 14.

GCF(11284,11298) = 14

We will now calculate the prime factors of 11284 and 11298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11284 and 11298.

How to find the GCF of 11284 and 11298?

We will first find the prime factorization of 11284 and 11298. After we will calculate the factors of 11284 and 11298 and find the biggest common factor number .

Step-1: Prime Factorization of 11284

Prime factors of 11284 are 2, 7, 13, 31. Prime factorization of 11284 in exponential form is:

11284 = 2² × 7¹ × 13¹ × 31¹

Step-2: 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-3: Factors of 11284

List of positive integer factors of 11284 that divides 11284 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 31, 52, 62, 91, 124, 182, 217, 364, 403, 434, 806, 868, 1612, 2821, 5642

Step-4: Factors of 11298

List of positive integer factors of 11298 that divides 11284 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11284 and 11298. The biggest common factor number is the GCF number.
So the greatest common factor 11284 and 11298 is 14.

Also check out the Least Common Multiple of 11284 and 11298