What is the Greatest Common Factor of 11228 and 11241?

Greatest common factor (GCF) of 11228 and 11241 is 1.

GCF(11228,11241) = 1

We will now calculate the prime factors of 11228 and 11241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11228 and 11241.

How to find the GCF of 11228 and 11241?

We will first find the prime factorization of 11228 and 11241. After we will calculate the factors of 11228 and 11241 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11241

Prime factors of 11241 are 3, 1249. Prime factorization of 11241 in exponential form is:

11241 = 3² × 1249¹

Step-3: Factors of 11228

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

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

Step-4: Factors of 11241

List of positive integer factors of 11241 that divides 11228 without a remainder.

1, 3, 9, 1249, 3747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11228 and 11241. The biggest common factor number is the GCF number.
So the greatest common factor 11228 and 11241 is 1.

Also check out the Least Common Multiple of 11228 and 11241