What is the Greatest Common Factor of 1824 and 1838?

Greatest common factor (GCF) of 1824 and 1838 is 2.

GCF(1824,1838) = 2

We will now calculate the prime factors of 1824 and 1838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1824 and 1838.

How to find the GCF of 1824 and 1838?

We will first find the prime factorization of 1824 and 1838. After we will calculate the factors of 1824 and 1838 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 1838

Prime factors of 1838 are 2, 919. Prime factorization of 1838 in exponential form is:

1838 = 2¹ × 919¹

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 1838

List of positive integer factors of 1838 that divides 1824 without a remainder.

1, 2, 919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1824 and 1838. The biggest common factor number is the GCF number.
So the greatest common factor 1824 and 1838 is 2.

Also check out the Least Common Multiple of 1824 and 1838