What is the Greatest Common Factor of 1100 and 1111?

Greatest common factor (GCF) of 1100 and 1111 is 11.

GCF(1100,1111) = 11

We will now calculate the prime factors of 1100 and 1111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1100 and 1111.

How to find the GCF of 1100 and 1111?

We will first find the prime factorization of 1100 and 1111. After we will calculate the factors of 1100 and 1111 and find the biggest common factor number .

Step-1: Prime Factorization of 1100

Prime factors of 1100 are 2, 5, 11. Prime factorization of 1100 in exponential form is:

1100 = 2² × 5² × 11¹

Step-2: Prime Factorization of 1111

Prime factors of 1111 are 11, 101. Prime factorization of 1111 in exponential form is:

1111 = 11¹ × 101¹

Step-3: Factors of 1100

List of positive integer factors of 1100 that divides 1100 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550

Step-4: Factors of 1111

List of positive integer factors of 1111 that divides 1100 without a remainder.

1, 11, 101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1100 and 1111. The biggest common factor number is the GCF number.
So the greatest common factor 1100 and 1111 is 11.

Also check out the Least Common Multiple of 1100 and 1111