What is the Greatest Common Factor of 11118 and 11135?

Greatest common factor (GCF) of 11118 and 11135 is 17.

GCF(11118,11135) = 17

We will now calculate the prime factors of 11118 and 11135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11118 and 11135.

How to find the GCF of 11118 and 11135?

We will first find the prime factorization of 11118 and 11135. After we will calculate the factors of 11118 and 11135 and find the biggest common factor number .

Step-1: Prime Factorization of 11118

Prime factors of 11118 are 2, 3, 17, 109. Prime factorization of 11118 in exponential form is:

11118 = 2¹ × 3¹ × 17¹ × 109¹

Step-2: Prime Factorization of 11135

Prime factors of 11135 are 5, 17, 131. Prime factorization of 11135 in exponential form is:

11135 = 5¹ × 17¹ × 131¹

Step-3: Factors of 11118

List of positive integer factors of 11118 that divides 11118 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 109, 218, 327, 654, 1853, 3706, 5559

Step-4: Factors of 11135

List of positive integer factors of 11135 that divides 11118 without a remainder.

1, 5, 17, 85, 131, 655, 2227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11118 and 11135. The biggest common factor number is the GCF number.
So the greatest common factor 11118 and 11135 is 17.

Also check out the Least Common Multiple of 11118 and 11135