What is the Greatest Common Factor of 51843 and 51858?

Greatest common factor (GCF) of 51843 and 51858 is 3.

GCF(51843,51858) = 3

We will now calculate the prime factors of 51843 and 51858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51843 and 51858.

How to find the GCF of 51843 and 51858?

We will first find the prime factorization of 51843 and 51858. After we will calculate the factors of 51843 and 51858 and find the biggest common factor number .

Step-1: Prime Factorization of 51843

Prime factors of 51843 are 3, 11, 1571. Prime factorization of 51843 in exponential form is:

51843 = 3¹ × 11¹ × 1571¹

Step-2: Prime Factorization of 51858

Prime factors of 51858 are 2, 3, 43, 67. Prime factorization of 51858 in exponential form is:

51858 = 2¹ × 3² × 43¹ × 67¹

Step-3: Factors of 51843

List of positive integer factors of 51843 that divides 51843 without a remainder.

1, 3, 11, 33, 1571, 4713, 17281

Step-4: Factors of 51858

List of positive integer factors of 51858 that divides 51843 without a remainder.

1, 2, 3, 6, 9, 18, 43, 67, 86, 129, 134, 201, 258, 387, 402, 603, 774, 1206, 2881, 5762, 8643, 17286, 25929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51843 and 51858. The biggest common factor number is the GCF number.
So the greatest common factor 51843 and 51858 is 3.

Also check out the Least Common Multiple of 51843 and 51858