What is the Greatest Common Factor of 11180 and 11198?

Greatest common factor (GCF) of 11180 and 11198 is 2.

GCF(11180,11198) = 2

We will now calculate the prime factors of 11180 and 11198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11180 and 11198.

How to find the GCF of 11180 and 11198?

We will first find the prime factorization of 11180 and 11198. After we will calculate the factors of 11180 and 11198 and find the biggest common factor number .

Step-1: Prime Factorization of 11180

Prime factors of 11180 are 2, 5, 13, 43. Prime factorization of 11180 in exponential form is:

11180 = 2² × 5¹ × 13¹ × 43¹

Step-2: Prime Factorization of 11198

Prime factors of 11198 are 2, 11, 509. Prime factorization of 11198 in exponential form is:

11198 = 2¹ × 11¹ × 509¹

Step-3: Factors of 11180

List of positive integer factors of 11180 that divides 11180 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 43, 52, 65, 86, 130, 172, 215, 260, 430, 559, 860, 1118, 2236, 2795, 5590

Step-4: Factors of 11198

List of positive integer factors of 11198 that divides 11180 without a remainder.

1, 2, 11, 22, 509, 1018, 5599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11180 and 11198. The biggest common factor number is the GCF number.
So the greatest common factor 11180 and 11198 is 2.

Also check out the Least Common Multiple of 11180 and 11198