What is the Greatest Common Factor of 1827 and 1833?

Greatest common factor (GCF) of 1827 and 1833 is 3.

GCF(1827,1833) = 3

We will now calculate the prime factors of 1827 and 1833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1827 and 1833.

How to find the GCF of 1827 and 1833?

We will first find the prime factorization of 1827 and 1833. After we will calculate the factors of 1827 and 1833 and find the biggest common factor number .

Step-1: Prime Factorization of 1827

Prime factors of 1827 are 3, 7, 29. Prime factorization of 1827 in exponential form is:

1827 = 3² × 7¹ × 29¹

Step-2: Prime Factorization of 1833

Prime factors of 1833 are 3, 13, 47. Prime factorization of 1833 in exponential form is:

1833 = 3¹ × 13¹ × 47¹

Step-3: Factors of 1827

List of positive integer factors of 1827 that divides 1827 without a remainder.

1, 3, 7, 9, 21, 29, 63, 87, 203, 261, 609

Step-4: Factors of 1833

List of positive integer factors of 1833 that divides 1827 without a remainder.

1, 3, 13, 39, 47, 141, 611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1827 and 1833. The biggest common factor number is the GCF number.
So the greatest common factor 1827 and 1833 is 3.

Also check out the Least Common Multiple of 1827 and 1833