What is the Greatest Common Factor of 1035 and 1044?

Greatest common factor (GCF) of 1035 and 1044 is 9.

GCF(1035,1044) = 9

We will now calculate the prime factors of 1035 and 1044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1035 and 1044.

How to find the GCF of 1035 and 1044?

We will first find the prime factorization of 1035 and 1044. After we will calculate the factors of 1035 and 1044 and find the biggest common factor number .

Step-1: Prime Factorization of 1035

Prime factors of 1035 are 3, 5, 23. Prime factorization of 1035 in exponential form is:

1035 = 3² × 5¹ × 23¹

Step-2: Prime Factorization of 1044

Prime factors of 1044 are 2, 3, 29. Prime factorization of 1044 in exponential form is:

1044 = 2² × 3² × 29¹

Step-3: Factors of 1035

List of positive integer factors of 1035 that divides 1035 without a remainder.

1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345

Step-4: Factors of 1044

List of positive integer factors of 1044 that divides 1035 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1035 and 1044. The biggest common factor number is the GCF number.
So the greatest common factor 1035 and 1044 is 9.

Also check out the Least Common Multiple of 1035 and 1044