What is the Greatest Common Factor of 51825 and 51843?

Greatest common factor (GCF) of 51825 and 51843 is 3.

GCF(51825,51843) = 3

We will now calculate the prime factors of 51825 and 51843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51825 and 51843.

How to find the GCF of 51825 and 51843?

We will first find the prime factorization of 51825 and 51843. After we will calculate the factors of 51825 and 51843 and find the biggest common factor number .

Step-1: Prime Factorization of 51825

Prime factors of 51825 are 3, 5, 691. Prime factorization of 51825 in exponential form is:

51825 = 3¹ × 5² × 691¹

Step-2: 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-3: Factors of 51825

List of positive integer factors of 51825 that divides 51825 without a remainder.

1, 3, 5, 15, 25, 75, 691, 2073, 3455, 10365, 17275

Step-4: Factors of 51843

List of positive integer factors of 51843 that divides 51825 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51825 and 51843. The biggest common factor number is the GCF number.
So the greatest common factor 51825 and 51843 is 3.

Also check out the Least Common Multiple of 51825 and 51843