What is the Greatest Common Factor of 1785 and 1803?

Greatest common factor (GCF) of 1785 and 1803 is 3.

GCF(1785,1803) = 3

We will now calculate the prime factors of 1785 and 1803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1785 and 1803.

How to find the GCF of 1785 and 1803?

We will first find the prime factorization of 1785 and 1803. After we will calculate the factors of 1785 and 1803 and find the biggest common factor number .

Step-1: Prime Factorization of 1785

Prime factors of 1785 are 3, 5, 7, 17. Prime factorization of 1785 in exponential form is:

1785 = 3¹ × 5¹ × 7¹ × 17¹

Step-2: Prime Factorization of 1803

Prime factors of 1803 are 3, 601. Prime factorization of 1803 in exponential form is:

1803 = 3¹ × 601¹

Step-3: Factors of 1785

List of positive integer factors of 1785 that divides 1785 without a remainder.

1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 357, 595

Step-4: Factors of 1803

List of positive integer factors of 1803 that divides 1785 without a remainder.

1, 3, 601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1785 and 1803. The biggest common factor number is the GCF number.
So the greatest common factor 1785 and 1803 is 3.

Also check out the Least Common Multiple of 1785 and 1803