What is the Greatest Common Factor of 11178 and 11189?

Greatest common factor (GCF) of 11178 and 11189 is 1.

GCF(11178,11189) = 1

We will now calculate the prime factors of 11178 and 11189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11178 and 11189.

How to find the GCF of 11178 and 11189?

We will first find the prime factorization of 11178 and 11189. After we will calculate the factors of 11178 and 11189 and find the biggest common factor number .

Step-1: Prime Factorization of 11178

Prime factors of 11178 are 2, 3, 23. Prime factorization of 11178 in exponential form is:

11178 = 2¹ × 3⁵ × 23¹

Step-2: Prime Factorization of 11189

Prime factors of 11189 are 67, 167. Prime factorization of 11189 in exponential form is:

11189 = 67¹ × 167¹

Step-3: Factors of 11178

List of positive integer factors of 11178 that divides 11178 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 243, 414, 486, 621, 1242, 1863, 3726, 5589

Step-4: Factors of 11189

List of positive integer factors of 11189 that divides 11178 without a remainder.

1, 67, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11178 and 11189. The biggest common factor number is the GCF number.
So the greatest common factor 11178 and 11189 is 1.

Also check out the Least Common Multiple of 11178 and 11189