What is the Greatest Common Factor of 1100 and 1117?

Greatest common factor (GCF) of 1100 and 1117 is 1.

GCF(1100,1117) = 1

We will now calculate the prime factors of 1100 and 1117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1100 and 1117.

How to find the GCF of 1100 and 1117?

We will first find the prime factorization of 1100 and 1117. After we will calculate the factors of 1100 and 1117 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 1117

Prime factors of 1117 are 1117. Prime factorization of 1117 in exponential form is:

1117 = 1117¹

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 1117

List of positive integer factors of 1117 that divides 1100 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1100 and 1117. The biggest common factor number is the GCF number.
So the greatest common factor 1100 and 1117 is 1.

Also check out the Least Common Multiple of 1100 and 1117