What is the Greatest Common Factor of 51819 and 51825?

Greatest common factor (GCF) of 51819 and 51825 is 3.

GCF(51819,51825) = 3

We will now calculate the prime factors of 51819 and 51825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51819 and 51825.

How to find the GCF of 51819 and 51825?

We will first find the prime factorization of 51819 and 51825. After we will calculate the factors of 51819 and 51825 and find the biggest common factor number .

Step-1: Prime Factorization of 51819

Prime factors of 51819 are 3, 23, 751. Prime factorization of 51819 in exponential form is:

51819 = 3¹ × 23¹ × 751¹

Step-2: 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-3: Factors of 51819

List of positive integer factors of 51819 that divides 51819 without a remainder.

1, 3, 23, 69, 751, 2253, 17273

Step-4: Factors of 51825

List of positive integer factors of 51825 that divides 51819 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51819 and 51825. The biggest common factor number is the GCF number.
So the greatest common factor 51819 and 51825 is 3.

Also check out the Least Common Multiple of 51819 and 51825