GCF and LCM Calculator Logo

What is the Greatest Common Factor of 1813 and 1826?

Greatest common factor (GCF) of 1813 and 1826 is 1.

GCF(1813,1826) = 1

We will now calculate the prime factors of 1813 and 1826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1813 and 1826.

GCF Calculator and
and

How to find the GCF of 1813 and 1826?

We will first find the prime factorization of 1813 and 1826. After we will calculate the factors of 1813 and 1826 and find the biggest common factor number .

Step-1: Prime Factorization of 1813

Prime factors of 1813 are 7, 37. Prime factorization of 1813 in exponential form is:

1813 = 72 × 371

Step-2: 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-3: Factors of 1813

List of positive integer factors of 1813 that divides 1813 without a remainder.

1, 7, 37, 49, 259

Step-4: Factors of 1826

List of positive integer factors of 1826 that divides 1813 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1813 and 1826. The biggest common factor number is the GCF number.
So the greatest common factor 1813 and 1826 is 1.

Also check out the Least Common Multiple of 1813 and 1826