What is the Greatest Common Factor of 1812 and 1824?

Greatest common factor (GCF) of 1812 and 1824 is 12.

GCF(1812,1824) = 12

We will now calculate the prime factors of 1812 and 1824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1812 and 1824.

How to find the GCF of 1812 and 1824?

We will first find the prime factorization of 1812 and 1824. After we will calculate the factors of 1812 and 1824 and find the biggest common factor number .

Step-1: Prime Factorization of 1812

Prime factors of 1812 are 2, 3, 151. Prime factorization of 1812 in exponential form is:

1812 = 2² × 3¹ × 151¹

Step-2: 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-3: Factors of 1812

List of positive integer factors of 1812 that divides 1812 without a remainder.

1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906

Step-4: Factors of 1824

List of positive integer factors of 1824 that divides 1812 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1812 and 1824. The biggest common factor number is the GCF number.
So the greatest common factor 1812 and 1824 is 12.

Also check out the Least Common Multiple of 1812 and 1824