What is the Greatest Common Factor of 1824 and 1843?

Greatest common factor (GCF) of 1824 and 1843 is 19.

GCF(1824,1843) = 19

We will now calculate the prime factors of 1824 and 1843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1824 and 1843.

How to find the GCF of 1824 and 1843?

We will first find the prime factorization of 1824 and 1843. After we will calculate the factors of 1824 and 1843 and find the biggest common factor number .

Step-1: Prime Factorization of 1824

Prime factors of 1824 are 2, 3, 19. Prime factorization of 1824 in exponential form is:

1824 = 2⁵ × 3¹ × 19¹

Step-2: Prime Factorization of 1843

Prime factors of 1843 are 19, 97. Prime factorization of 1843 in exponential form is:

1843 = 19¹ × 97¹

Step-3: Factors of 1824

List of positive integer factors of 1824 that divides 1824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 76, 96, 114, 152, 228, 304, 456, 608, 912

Step-4: Factors of 1843

List of positive integer factors of 1843 that divides 1824 without a remainder.

1, 19, 97

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1824 and 1843. The biggest common factor number is the GCF number.
So the greatest common factor 1824 and 1843 is 19.

Also check out the Least Common Multiple of 1824 and 1843