What is the Greatest Common Factor of 1730 and 1747?

Greatest common factor (GCF) of 1730 and 1747 is 1.

GCF(1730,1747) = 1

We will now calculate the prime factors of 1730 and 1747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1730 and 1747.

How to find the GCF of 1730 and 1747?

We will first find the prime factorization of 1730 and 1747. After we will calculate the factors of 1730 and 1747 and find the biggest common factor number .

Step-1: Prime Factorization of 1730

Prime factors of 1730 are 2, 5, 173. Prime factorization of 1730 in exponential form is:

1730 = 2¹ × 5¹ × 173¹

Step-2: Prime Factorization of 1747

Prime factors of 1747 are 1747. Prime factorization of 1747 in exponential form is:

1747 = 1747¹

Step-3: Factors of 1730

List of positive integer factors of 1730 that divides 1730 without a remainder.

1, 2, 5, 10, 173, 346, 865

Step-4: Factors of 1747

List of positive integer factors of 1747 that divides 1730 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1730 and 1747. The biggest common factor number is the GCF number.
So the greatest common factor 1730 and 1747 is 1.

Also check out the Least Common Multiple of 1730 and 1747