What is the Greatest Common Factor of 1786 and 1804?

Greatest common factor (GCF) of 1786 and 1804 is 2.

GCF(1786,1804) = 2

We will now calculate the prime factors of 1786 and 1804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1786 and 1804.

How to find the GCF of 1786 and 1804?

We will first find the prime factorization of 1786 and 1804. After we will calculate the factors of 1786 and 1804 and find the biggest common factor number .

Step-1: Prime Factorization of 1786

Prime factors of 1786 are 2, 19, 47. Prime factorization of 1786 in exponential form is:

1786 = 2¹ × 19¹ × 47¹

Step-2: Prime Factorization of 1804

Prime factors of 1804 are 2, 11, 41. Prime factorization of 1804 in exponential form is:

1804 = 2² × 11¹ × 41¹

Step-3: Factors of 1786

List of positive integer factors of 1786 that divides 1786 without a remainder.

1, 2, 19, 38, 47, 94, 893

Step-4: Factors of 1804

List of positive integer factors of 1804 that divides 1786 without a remainder.

1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1786 and 1804. The biggest common factor number is the GCF number.
So the greatest common factor 1786 and 1804 is 2.

Also check out the Least Common Multiple of 1786 and 1804