What is the Greatest Common Factor of 1758 and 1773?

Greatest common factor (GCF) of 1758 and 1773 is 3.

GCF(1758,1773) = 3

We will now calculate the prime factors of 1758 and 1773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1758 and 1773.

How to find the GCF of 1758 and 1773?

We will first find the prime factorization of 1758 and 1773. After we will calculate the factors of 1758 and 1773 and find the biggest common factor number .

Step-1: Prime Factorization of 1758

Prime factors of 1758 are 2, 3, 293. Prime factorization of 1758 in exponential form is:

1758 = 2¹ × 3¹ × 293¹

Step-2: Prime Factorization of 1773

Prime factors of 1773 are 3, 197. Prime factorization of 1773 in exponential form is:

1773 = 3² × 197¹

Step-3: Factors of 1758

List of positive integer factors of 1758 that divides 1758 without a remainder.

1, 2, 3, 6, 293, 586, 879

Step-4: Factors of 1773

List of positive integer factors of 1773 that divides 1758 without a remainder.

1, 3, 9, 197, 591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1758 and 1773. The biggest common factor number is the GCF number.
So the greatest common factor 1758 and 1773 is 3.

Also check out the Least Common Multiple of 1758 and 1773