What is the Greatest Common Factor of 11216 and 11228?

Greatest common factor (GCF) of 11216 and 11228 is 4.

GCF(11216,11228) = 4

We will now calculate the prime factors of 11216 and 11228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11216 and 11228.

How to find the GCF of 11216 and 11228?

We will first find the prime factorization of 11216 and 11228. After we will calculate the factors of 11216 and 11228 and find the biggest common factor number .

Step-1: Prime Factorization of 11216

Prime factors of 11216 are 2, 701. Prime factorization of 11216 in exponential form is:

11216 = 2⁴ × 701¹

Step-2: Prime Factorization of 11228

Prime factors of 11228 are 2, 7, 401. Prime factorization of 11228 in exponential form is:

11228 = 2² × 7¹ × 401¹

Step-3: Factors of 11216

List of positive integer factors of 11216 that divides 11216 without a remainder.

1, 2, 4, 8, 16, 701, 1402, 2804, 5608

Step-4: Factors of 11228

List of positive integer factors of 11228 that divides 11216 without a remainder.

1, 2, 4, 7, 14, 28, 401, 802, 1604, 2807, 5614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11216 and 11228. The biggest common factor number is the GCF number.
So the greatest common factor 11216 and 11228 is 4.

Also check out the Least Common Multiple of 11216 and 11228