What is the Greatest Common Factor of 11112 and 11118?

Greatest common factor (GCF) of 11112 and 11118 is 6.

GCF(11112,11118) = 6

We will now calculate the prime factors of 11112 and 11118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11112 and 11118.

How to find the GCF of 11112 and 11118?

We will first find the prime factorization of 11112 and 11118. After we will calculate the factors of 11112 and 11118 and find the biggest common factor number .

Step-1: Prime Factorization of 11112

Prime factors of 11112 are 2, 3, 463. Prime factorization of 11112 in exponential form is:

11112 = 2³ × 3¹ × 463¹

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 11112

List of positive integer factors of 11112 that divides 11112 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 463, 926, 1389, 1852, 2778, 3704, 5556

Step-4: Factors of 11118

List of positive integer factors of 11118 that divides 11112 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 11112 and 11118. The biggest common factor number is the GCF number.
So the greatest common factor 11112 and 11118 is 6.

Also check out the Least Common Multiple of 11112 and 11118