What is the Greatest Common Factor of 1843 and 1862?

Greatest common factor (GCF) of 1843 and 1862 is 19.

GCF(1843,1862) = 19

We will now calculate the prime factors of 1843 and 1862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1843 and 1862.

How to find the GCF of 1843 and 1862?

We will first find the prime factorization of 1843 and 1862. After we will calculate the factors of 1843 and 1862 and find the biggest common factor number .

Step-1: Prime Factorization of 1843

Prime factors of 1843 are 19, 97. Prime factorization of 1843 in exponential form is:

1843 = 19¹ × 97¹

Step-2: Prime Factorization of 1862

Prime factors of 1862 are 2, 7, 19. Prime factorization of 1862 in exponential form is:

1862 = 2¹ × 7² × 19¹

Step-3: Factors of 1843

List of positive integer factors of 1843 that divides 1843 without a remainder.

1, 19, 97

Step-4: Factors of 1862

List of positive integer factors of 1862 that divides 1843 without a remainder.

1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1843 and 1862. The biggest common factor number is the GCF number.
So the greatest common factor 1843 and 1862 is 19.

Also check out the Least Common Multiple of 1843 and 1862