What is the Greatest Common Factor of 1125 and 1137?

Greatest common factor (GCF) of 1125 and 1137 is 3.

GCF(1125,1137) = 3

We will now calculate the prime factors of 1125 and 1137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1125 and 1137.

How to find the GCF of 1125 and 1137?

We will first find the prime factorization of 1125 and 1137. After we will calculate the factors of 1125 and 1137 and find the biggest common factor number .

Step-1: Prime Factorization of 1125

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

1125 = 3² × 5³

Step-2: Prime Factorization of 1137

Prime factors of 1137 are 3, 379. Prime factorization of 1137 in exponential form is:

1137 = 3¹ × 379¹

Step-3: Factors of 1125

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

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

Step-4: Factors of 1137

List of positive integer factors of 1137 that divides 1125 without a remainder.

1, 3, 379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1125 and 1137. The biggest common factor number is the GCF number.
So the greatest common factor 1125 and 1137 is 3.

Also check out the Least Common Multiple of 1125 and 1137