What is the Greatest Common Factor of 1044 and 1051?

Greatest common factor (GCF) of 1044 and 1051 is 1.

GCF(1044,1051) = 1

We will now calculate the prime factors of 1044 and 1051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1044 and 1051.

How to find the GCF of 1044 and 1051?

We will first find the prime factorization of 1044 and 1051. After we will calculate the factors of 1044 and 1051 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 1051

Prime factors of 1051 are 1051. Prime factorization of 1051 in exponential form is:

1051 = 1051¹

Step-3: Factors of 1044

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

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

Step-4: Factors of 1051

List of positive integer factors of 1051 that divides 1044 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1044 and 1051. The biggest common factor number is the GCF number.
So the greatest common factor 1044 and 1051 is 1.

Also check out the Least Common Multiple of 1044 and 1051