What is the Greatest Common Factor of 1743 and 1755?

Greatest common factor (GCF) of 1743 and 1755 is 3.

GCF(1743,1755) = 3

We will now calculate the prime factors of 1743 and 1755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1743 and 1755.

How to find the GCF of 1743 and 1755?

We will first find the prime factorization of 1743 and 1755. After we will calculate the factors of 1743 and 1755 and find the biggest common factor number .

Step-1: Prime Factorization of 1743

Prime factors of 1743 are 3, 7, 83. Prime factorization of 1743 in exponential form is:

1743 = 3¹ × 7¹ × 83¹

Step-2: Prime Factorization of 1755

Prime factors of 1755 are 3, 5, 13. Prime factorization of 1755 in exponential form is:

1755 = 3³ × 5¹ × 13¹

Step-3: Factors of 1743

List of positive integer factors of 1743 that divides 1743 without a remainder.

1, 3, 7, 21, 83, 249, 581

Step-4: Factors of 1755

List of positive integer factors of 1755 that divides 1743 without a remainder.

1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1743 and 1755. The biggest common factor number is the GCF number.
So the greatest common factor 1743 and 1755 is 3.

Also check out the Least Common Multiple of 1743 and 1755