What is the Greatest Common Factor of 1826 and 1844?

Greatest common factor (GCF) of 1826 and 1844 is 2.

GCF(1826,1844) = 2

We will now calculate the prime factors of 1826 and 1844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1826 and 1844.

How to find the GCF of 1826 and 1844?

We will first find the prime factorization of 1826 and 1844. After we will calculate the factors of 1826 and 1844 and find the biggest common factor number .

Step-1: Prime Factorization of 1826

Prime factors of 1826 are 2, 11, 83. Prime factorization of 1826 in exponential form is:

1826 = 2¹ × 11¹ × 83¹

Step-2: Prime Factorization of 1844

Prime factors of 1844 are 2, 461. Prime factorization of 1844 in exponential form is:

1844 = 2² × 461¹

Step-3: Factors of 1826

List of positive integer factors of 1826 that divides 1826 without a remainder.

1, 2, 11, 22, 83, 166, 913

Step-4: Factors of 1844

List of positive integer factors of 1844 that divides 1826 without a remainder.

1, 2, 4, 461, 922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1826 and 1844. The biggest common factor number is the GCF number.
So the greatest common factor 1826 and 1844 is 2.

Also check out the Least Common Multiple of 1826 and 1844