What is the Greatest Common Factor of 51825 and 51839?

Greatest common factor (GCF) of 51825 and 51839 is 1.

GCF(51825,51839) = 1

We will now calculate the prime factors of 51825 and 51839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51825 and 51839.

How to find the GCF of 51825 and 51839?

We will first find the prime factorization of 51825 and 51839. After we will calculate the factors of 51825 and 51839 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 51839

Prime factors of 51839 are 51839. Prime factorization of 51839 in exponential form is:

51839 = 51839¹

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 51839

List of positive integer factors of 51839 that divides 51825 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51825 and 51839. The biggest common factor number is the GCF number.
So the greatest common factor 51825 and 51839 is 1.

Also check out the Least Common Multiple of 51825 and 51839