What is the Greatest Common Factor of 1744 and 1753?

Greatest common factor (GCF) of 1744 and 1753 is 1.

GCF(1744,1753) = 1

We will now calculate the prime factors of 1744 and 1753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1744 and 1753.

How to find the GCF of 1744 and 1753?

We will first find the prime factorization of 1744 and 1753. After we will calculate the factors of 1744 and 1753 and find the biggest common factor number .

Step-1: Prime Factorization of 1744

Prime factors of 1744 are 2, 109. Prime factorization of 1744 in exponential form is:

1744 = 2⁴ × 109¹

Step-2: Prime Factorization of 1753

Prime factors of 1753 are 1753. Prime factorization of 1753 in exponential form is:

1753 = 1753¹

Step-3: Factors of 1744

List of positive integer factors of 1744 that divides 1744 without a remainder.

1, 2, 4, 8, 16, 109, 218, 436, 872

Step-4: Factors of 1753

List of positive integer factors of 1753 that divides 1744 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1744 and 1753. The biggest common factor number is the GCF number.
So the greatest common factor 1744 and 1753 is 1.

Also check out the Least Common Multiple of 1744 and 1753