What is the Greatest Common Factor of 1734 and 1754?

Greatest common factor (GCF) of 1734 and 1754 is 2.

GCF(1734,1754) = 2

We will now calculate the prime factors of 1734 and 1754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1734 and 1754.

How to find the GCF of 1734 and 1754?

We will first find the prime factorization of 1734 and 1754. After we will calculate the factors of 1734 and 1754 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 1754

Prime factors of 1754 are 2, 877. Prime factorization of 1754 in exponential form is:

1754 = 2¹ × 877¹

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 1754

List of positive integer factors of 1754 that divides 1734 without a remainder.

1, 2, 877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1734 and 1754. The biggest common factor number is the GCF number.
So the greatest common factor 1734 and 1754 is 2.

Also check out the Least Common Multiple of 1734 and 1754