What is the Greatest Common Factor of 1116 and 1125?

Greatest common factor (GCF) of 1116 and 1125 is 9.

GCF(1116,1125) = 9

We will now calculate the prime factors of 1116 and 1125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1116 and 1125.

How to find the GCF of 1116 and 1125?

We will first find the prime factorization of 1116 and 1125. After we will calculate the factors of 1116 and 1125 and find the biggest common factor number .

Step-1: Prime Factorization of 1116

Prime factors of 1116 are 2, 3, 31. Prime factorization of 1116 in exponential form is:

1116 = 2² × 3² × 31¹

Step-2: Prime Factorization of 1125

Prime factors of 1125 are 3, 5. Prime factorization of 1125 in exponential form is:

1125 = 3² × 5³

Step-3: Factors of 1116

List of positive integer factors of 1116 that divides 1116 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558

Step-4: Factors of 1125

List of positive integer factors of 1125 that divides 1116 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1116 and 1125. The biggest common factor number is the GCF number.
So the greatest common factor 1116 and 1125 is 9.

Also check out the Least Common Multiple of 1116 and 1125