What is the Greatest Common Factor of 1734 and 1751?

Greatest common factor (GCF) of 1734 and 1751 is 17.

GCF(1734,1751) = 17

We will now calculate the prime factors of 1734 and 1751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1734 and 1751.

How to find the GCF of 1734 and 1751?

We will first find the prime factorization of 1734 and 1751. After we will calculate the factors of 1734 and 1751 and find the biggest common factor number .

Step-1: Prime Factorization of 1734

Prime factors of 1734 are 2, 3, 17. Prime factorization of 1734 in exponential form is:

1734 = 2¹ × 3¹ × 17²

Step-2: Prime Factorization of 1751

Prime factors of 1751 are 17, 103. Prime factorization of 1751 in exponential form is:

1751 = 17¹ × 103¹

Step-3: Factors of 1734

List of positive integer factors of 1734 that divides 1734 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 289, 578, 867

Step-4: Factors of 1751

List of positive integer factors of 1751 that divides 1734 without a remainder.

1, 17, 103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1734 and 1751. The biggest common factor number is the GCF number.
So the greatest common factor 1734 and 1751 is 17.

Also check out the Least Common Multiple of 1734 and 1751