What is the Greatest Common Factor of 11101 and 11118?

Greatest common factor (GCF) of 11101 and 11118 is 17.

GCF(11101,11118) = 17

We will now calculate the prime factors of 11101 and 11118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11101 and 11118.

How to find the GCF of 11101 and 11118?

We will first find the prime factorization of 11101 and 11118. After we will calculate the factors of 11101 and 11118 and find the biggest common factor number .

Step-1: Prime Factorization of 11101

Prime factors of 11101 are 17, 653. Prime factorization of 11101 in exponential form is:

11101 = 17¹ × 653¹

Step-2: 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-3: Factors of 11101

List of positive integer factors of 11101 that divides 11101 without a remainder.

1, 17, 653

Step-4: Factors of 11118

List of positive integer factors of 11118 that divides 11101 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11101 and 11118. The biggest common factor number is the GCF number.
So the greatest common factor 11101 and 11118 is 17.

Also check out the Least Common Multiple of 11101 and 11118