What is the Greatest Common Factor of 11206 and 11219?

Greatest common factor (GCF) of 11206 and 11219 is 13.

GCF(11206,11219) = 13

We will now calculate the prime factors of 11206 and 11219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11206 and 11219.

How to find the GCF of 11206 and 11219?

We will first find the prime factorization of 11206 and 11219. After we will calculate the factors of 11206 and 11219 and find the biggest common factor number .

Step-1: Prime Factorization of 11206

Prime factors of 11206 are 2, 13, 431. Prime factorization of 11206 in exponential form is:

11206 = 2¹ × 13¹ × 431¹

Step-2: Prime Factorization of 11219

Prime factors of 11219 are 13, 863. Prime factorization of 11219 in exponential form is:

11219 = 13¹ × 863¹

Step-3: Factors of 11206

List of positive integer factors of 11206 that divides 11206 without a remainder.

1, 2, 13, 26, 431, 862, 5603

Step-4: Factors of 11219

List of positive integer factors of 11219 that divides 11206 without a remainder.

1, 13, 863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11206 and 11219. The biggest common factor number is the GCF number.
So the greatest common factor 11206 and 11219 is 13.

Also check out the Least Common Multiple of 11206 and 11219