What is the Greatest Common Factor of 1029 and 1044?

Greatest common factor (GCF) of 1029 and 1044 is 3.

GCF(1029,1044) = 3

We will now calculate the prime factors of 1029 and 1044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1029 and 1044.

How to find the GCF of 1029 and 1044?

We will first find the prime factorization of 1029 and 1044. After we will calculate the factors of 1029 and 1044 and find the biggest common factor number .

Step-1: Prime Factorization of 1029

Prime factors of 1029 are 3, 7. Prime factorization of 1029 in exponential form is:

1029 = 3¹ × 7³

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 1029

List of positive integer factors of 1029 that divides 1029 without a remainder.

1, 3, 7, 21, 49, 147, 343

Step-4: Factors of 1044

List of positive integer factors of 1044 that divides 1029 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 1029 and 1044. The biggest common factor number is the GCF number.
So the greatest common factor 1029 and 1044 is 3.

Also check out the Least Common Multiple of 1029 and 1044