What is the Greatest Common Factor of 51225 and 51231?

Greatest common factor (GCF) of 51225 and 51231 is 3.

GCF(51225,51231) = 3

We will now calculate the prime factors of 51225 and 51231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51225 and 51231.

How to find the GCF of 51225 and 51231?

We will first find the prime factorization of 51225 and 51231. After we will calculate the factors of 51225 and 51231 and find the biggest common factor number .

Step-1: Prime Factorization of 51225

Prime factors of 51225 are 3, 5, 683. Prime factorization of 51225 in exponential form is:

51225 = 3¹ × 5² × 683¹

Step-2: Prime Factorization of 51231

Prime factors of 51231 are 3, 17077. Prime factorization of 51231 in exponential form is:

51231 = 3¹ × 17077¹

Step-3: Factors of 51225

List of positive integer factors of 51225 that divides 51225 without a remainder.

1, 3, 5, 15, 25, 75, 683, 2049, 3415, 10245, 17075

Step-4: Factors of 51231

List of positive integer factors of 51231 that divides 51225 without a remainder.

1, 3, 17077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51225 and 51231. The biggest common factor number is the GCF number.
So the greatest common factor 51225 and 51231 is 3.

Also check out the Least Common Multiple of 51225 and 51231