What is the Greatest Common Factor of 51825 and 51833?

Greatest common factor (GCF) of 51825 and 51833 is 1.

GCF(51825,51833) = 1

We will now calculate the prime factors of 51825 and 51833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51825 and 51833.

How to find the GCF of 51825 and 51833?

We will first find the prime factorization of 51825 and 51833. After we will calculate the factors of 51825 and 51833 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 51833

Prime factors of 51833 are 17, 3049. Prime factorization of 51833 in exponential form is:

51833 = 17¹ × 3049¹

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 51833

List of positive integer factors of 51833 that divides 51825 without a remainder.

1, 17, 3049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51825 and 51833. The biggest common factor number is the GCF number.
So the greatest common factor 51825 and 51833 is 1.

Also check out the Least Common Multiple of 51825 and 51833