What is the Greatest Common Factor of 1824 and 1836?

Greatest common factor (GCF) of 1824 and 1836 is 12.

GCF(1824,1836) = 12

We will now calculate the prime factors of 1824 and 1836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1824 and 1836.

How to find the GCF of 1824 and 1836?

We will first find the prime factorization of 1824 and 1836. After we will calculate the factors of 1824 and 1836 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 1836

Prime factors of 1836 are 2, 3, 17. Prime factorization of 1836 in exponential form is:

1836 = 2² × 3³ × 17¹

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 1836

List of positive integer factors of 1836 that divides 1824 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 102, 108, 153, 204, 306, 459, 612, 918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1824 and 1836. The biggest common factor number is the GCF number.
So the greatest common factor 1824 and 1836 is 12.

Also check out the Least Common Multiple of 1824 and 1836