What is the Greatest Common Factor of 1741 and 1746?

Greatest common factor (GCF) of 1741 and 1746 is 1.

GCF(1741,1746) = 1

We will now calculate the prime factors of 1741 and 1746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1741 and 1746.

How to find the GCF of 1741 and 1746?

We will first find the prime factorization of 1741 and 1746. After we will calculate the factors of 1741 and 1746 and find the biggest common factor number .

Step-1: Prime Factorization of 1741

Prime factors of 1741 are 1741. Prime factorization of 1741 in exponential form is:

1741 = 1741¹

Step-2: Prime Factorization of 1746

Prime factors of 1746 are 2, 3, 97. Prime factorization of 1746 in exponential form is:

1746 = 2¹ × 3² × 97¹

Step-3: Factors of 1741

List of positive integer factors of 1741 that divides 1741 without a remainder.

Step-4: Factors of 1746

List of positive integer factors of 1746 that divides 1741 without a remainder.

1, 2, 3, 6, 9, 18, 97, 194, 291, 582, 873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1741 and 1746. The biggest common factor number is the GCF number.
So the greatest common factor 1741 and 1746 is 1.

Also check out the Least Common Multiple of 1741 and 1746