What is the Greatest Common Factor of 1827 and 1839?

Greatest common factor (GCF) of 1827 and 1839 is 3.

GCF(1827,1839) = 3

We will now calculate the prime factors of 1827 and 1839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1827 and 1839.

How to find the GCF of 1827 and 1839?

We will first find the prime factorization of 1827 and 1839. After we will calculate the factors of 1827 and 1839 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 1839

Prime factors of 1839 are 3, 613. Prime factorization of 1839 in exponential form is:

1839 = 3¹ × 613¹

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 1839

List of positive integer factors of 1839 that divides 1827 without a remainder.

1, 3, 613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1827 and 1839. The biggest common factor number is the GCF number.
So the greatest common factor 1827 and 1839 is 3.

Also check out the Least Common Multiple of 1827 and 1839