What is the Greatest Common Factor of 1782 and 1797?

Greatest common factor (GCF) of 1782 and 1797 is 3.

GCF(1782,1797) = 3

We will now calculate the prime factors of 1782 and 1797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1782 and 1797.

How to find the GCF of 1782 and 1797?

We will first find the prime factorization of 1782 and 1797. After we will calculate the factors of 1782 and 1797 and find the biggest common factor number .

Step-1: Prime Factorization of 1782

Prime factors of 1782 are 2, 3, 11. Prime factorization of 1782 in exponential form is:

1782 = 2¹ × 3⁴ × 11¹

Step-2: Prime Factorization of 1797

Prime factors of 1797 are 3, 599. Prime factorization of 1797 in exponential form is:

1797 = 3¹ × 599¹

Step-3: Factors of 1782

List of positive integer factors of 1782 that divides 1782 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 297, 594, 891

Step-4: Factors of 1797

List of positive integer factors of 1797 that divides 1782 without a remainder.

1, 3, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1782 and 1797. The biggest common factor number is the GCF number.
So the greatest common factor 1782 and 1797 is 3.

Also check out the Least Common Multiple of 1782 and 1797