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What is the Greatest Common Factor of 1044 and 1061?

Greatest common factor (GCF) of 1044 and 1061 is 1.

GCF(1044,1061) = 1

We will now calculate the prime factors of 1044 and 1061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1044 and 1061.

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How to find the GCF of 1044 and 1061?

We will first find the prime factorization of 1044 and 1061. After we will calculate the factors of 1044 and 1061 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 1061

Prime factors of 1061 are 1061. Prime factorization of 1061 in exponential form is:

1061 = 10611

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 1061

List of positive integer factors of 1061 that divides 1044 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1044 and 1061. The biggest common factor number is the GCF number.
So the greatest common factor 1044 and 1061 is 1.

Also check out the Least Common Multiple of 1044 and 1061