What is the Greatest Common Factor of 1848 and 1863?

Greatest common factor (GCF) of 1848 and 1863 is 3.

GCF(1848,1863) = 3

We will now calculate the prime factors of 1848 and 1863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1848 and 1863.

How to find the GCF of 1848 and 1863?

We will first find the prime factorization of 1848 and 1863. After we will calculate the factors of 1848 and 1863 and find the biggest common factor number .

Step-1: Prime Factorization of 1848

Prime factors of 1848 are 2, 3, 7, 11. Prime factorization of 1848 in exponential form is:

1848 = 2³ × 3¹ × 7¹ × 11¹

Step-2: Prime Factorization of 1863

Prime factors of 1863 are 3, 23. Prime factorization of 1863 in exponential form is:

1863 = 3⁴ × 23¹

Step-3: Factors of 1848

List of positive integer factors of 1848 that divides 1848 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 56, 66, 77, 84, 88, 132, 154, 168, 231, 264, 308, 462, 616, 924

Step-4: Factors of 1863

List of positive integer factors of 1863 that divides 1848 without a remainder.

1, 3, 9, 23, 27, 69, 81, 207, 621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1848 and 1863. The biggest common factor number is the GCF number.
So the greatest common factor 1848 and 1863 is 3.

Also check out the Least Common Multiple of 1848 and 1863