What is the Greatest Common Factor of 11231 and 11242?

Greatest common factor (GCF) of 11231 and 11242 is 11.

GCF(11231,11242) = 11

We will now calculate the prime factors of 11231 and 11242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11231 and 11242.

How to find the GCF of 11231 and 11242?

We will first find the prime factorization of 11231 and 11242. After we will calculate the factors of 11231 and 11242 and find the biggest common factor number .

Step-1: Prime Factorization of 11231

Prime factors of 11231 are 11, 1021. Prime factorization of 11231 in exponential form is:

11231 = 11¹ × 1021¹

Step-2: Prime Factorization of 11242

Prime factors of 11242 are 2, 7, 11, 73. Prime factorization of 11242 in exponential form is:

11242 = 2¹ × 7¹ × 11¹ × 73¹

Step-3: Factors of 11231

List of positive integer factors of 11231 that divides 11231 without a remainder.

1, 11, 1021

Step-4: Factors of 11242

List of positive integer factors of 11242 that divides 11231 without a remainder.

1, 2, 7, 11, 14, 22, 73, 77, 146, 154, 511, 803, 1022, 1606, 5621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11231 and 11242. The biggest common factor number is the GCF number.
So the greatest common factor 11231 and 11242 is 11.

Also check out the Least Common Multiple of 11231 and 11242